Cubic Yard Calculator: How to Calculate Cubic Yards

A cubic yard calculator turns three measurements into an order: length in, width in, depth in, cubic yards out. The companion tool on this page is exactly that, and this manual is the formula running underneath it, because some numbers you can look up and some you have to work out. How to calculate cubic yards sits squarely in the second group: there is no chart that knows the size of your hole, only a formula that turns your measurements into an order. That formula is short, it is the same for concrete, gravel, and dirt, and once you have it you never have to guess at a bulk order again. Whether you call it a cubic yard calculator, a yardage calculator, or just a yard calculator, the arithmetic behind all three is identical, and it takes about a minute by hand.

This manual is the general method, the hub that the material-specific pages hang off. It covers the core formula, the reason you divide by 27, how to handle depth in inches, and how the same three steps play out for a concrete slab, a gravel driveway, a topsoil bed, a round area, and an irregular one. You can run your own dimensions through it in about a minute with our material coverage estimator, and the companion below recalculates every section against your numbers as you read.

How to calculate cubic yards: the core formula

The entire method is one line: length times width times depth, with every measurement in feet, then divide the result by 27. The multiplication gives you the volume in cubic feet, and the division converts that into cubic yards, which is the unit suppliers of concrete, gravel, and soil actually sell in. Master this one formula and everything else in this manual is just a variation on it.

Written out, cubic yards equals (length in feet times width in feet times depth in feet) divided by 27. The three dimensions can come in any order, since multiplication does not care, but they must all be in the same unit, feet, before you multiply. That unit discipline is the single most important habit in the whole calculation, and it is where most first attempts go wrong, because depth almost never arrives in feet.

This is the same volume-then-convert shape that runs through all of our estimating work; our manual on how to estimate materials for a project frames it as the universal method for anything sold by the cubic unit. Here we are drilling into the cubic yard specifically, because it is the unit the yard quotes you in, and getting it right is the difference between one delivery and two.

How do you calculate cubic yards, step by step

Broken into steps, the calculation is almost boringly reliable, which is exactly what you want from a number you are about to pay for.

First, measure the length and width of the area and the depth you want to fill or pour. Second, put all three measurements into feet, which usually means dividing the depth in inches by 12. Third, multiply length times width times depth to get cubic feet. Fourth, divide the cubic feet by 27 to get cubic yards. Fifth, add a waste allowance and round up to how the supplier sells.

Take a plain example. A pad measures 12 feet by 9 feet, and you want it 6 inches deep. Depth first: 6 inches divided by 12 is 0.5 feet. Volume: 12 times 9 times 0.5 is 54 cubic feet. Convert: 54 divided by 27 is exactly 2 cubic yards. That is the whole procedure, and it does not change whether the hole is for concrete, gravel, or garden soil. Only the depth you choose and the waste you add differ from one material to the next.

Using this page as a yardage calculator

A yardage calculator is nothing more than the formula above with the arithmetic done for you, and that is what the companion on this page is. Enter the length and width in feet and the depth in inches, and it converts the depth, multiplies the three dimensions, divides by 27, and returns the cubic yards, then adds a 10 percent overage so the number you see is the number you can actually order against. Flip the shape field to circle and the length becomes a diameter, so round beds and tank pads run through the same tool without a separate formula.

What most single-purpose yardage calculators skip is everything after the volume. Bulk materials are frequently quoted by weight, so the companion also picks a typical density for the material you select, gravel, sand, topsoil, concrete, or mulch, and shows an approximate tonnage next to the cubic yards. Treat that tonnage as a planning figure rather than a quote: densities are commonly cited ranges, moisture changes the weight, and every supplier weighs from their own pile, so the yard’s own figure wins on ordering day.

The habit worth keeping even with a calculator in hand is one manual pass. Run your dimensions through the formula once on paper, length times width times depth in feet, divided by 27, and check that the tool agrees to within rounding. The point is not distrust of the arithmetic, it is that a mistyped depth or a width entered as inches is invisible inside a tool but obvious in a hand calculation, and a yardage error costs a delivery fee in either direction. Our note on how much a yard of gravel weighs is the companion reading for the weight side of the order.

Cubic yard calculator: the three inputs and what comes back

A cubic yard calculator asks for three things and nothing else, which is why it is worth knowing exactly what each one means before you type. Length and width are the footprint of the area in feet, measured along the ground the material will actually cover, not the outside of a form or the property line. Depth is how thick the material will lie once it is in place, and it is almost always given in inches, which is why every honest calculator converts it to feet by dividing by 12 before multiplying. Shape is the only other choice worth offering: a rectangle uses length times width, a circle uses pi times the radius squared, and the radius is half the diameter you measured across the middle.

What comes back is a chain of numbers rather than a single answer, and each link is worth reading. First the area in square feet, which is a useful check on its own because you can usually eyeball whether it is plausible. Then the volume in cubic feet, the raw multiplication before any unit conversion. Then the cubic yards, that volume divided by 27, which is the figure the supplier quotes against. Then the same figure with an overage added, commonly 5 to 10 percent, because real ground is never as tidy as arithmetic. And finally, for materials sold by weight, an approximate tonnage using a typical density for what you selected.

The reason to read the chain rather than just the last line is that a units mistake shows up somewhere specific. If the area looks wrong, a dimension was entered in inches. If the area is right but the cubic feet are wildly high, the depth was left in inches. If the cubic feet are right but the yards look enormous, something divided by 3 instead of 27. Every wrong bulk order in this manual traces to one of those three, and a calculator that shows its intermediate figures lets you catch the slip before a truck is booked. Run your own dimensions through the material coverage estimator and read down the chain rather than straight to the bottom.

Yard calculator, yardage calculator, cubic yard calculator: the same math

These three names get used interchangeably and they mostly mean the same tool, but the ambiguity in the word yard is worth clearing up, because it is the one place the terminology can genuinely mislead. A yard is a linear measure, 3 feet, and a yard calculator in a fabric or landscaping-fabric context means linear yards of material off a roll. A cubic yard is a volume, a cube 3 feet on every side, which works out to 27 cubic feet. When a gravel yard or a ready-mix plant quotes you a yard, they mean a cubic yard, and that is what every calculation in this manual returns.

Yardage calculator is the informal trade name for the same thing, and it usually implies bulk material rather than fabric. Cubic yard calculator is the unambiguous version and the phrase worth using when you want to be certain. Whichever name you search, the tool should do the identical four operations: convert the depth from inches to feet, compute the area, multiply for cubic feet, divide by 27. If a tool you find online will not tell you which of those it did, it is worth a minute of hand arithmetic to check it against the quick reference table further down this manual.

There is one more unit that shares the confusion, and that is the square yard, which is 9 square feet and describes area rather than volume. Square yards turn up in paving and flooring quotes, cubic yards in anything sold by the truckload, and mixing them up is roughly as expensive as leaving a depth in inches. The reliable habit is to say the whole unit out loud when you write a number down, cubic yards or square yards, never just yards, so the figure you hand the supplier cannot be read two ways. Our note on land area measurement covers the area units in more detail if a quote has you working in both at once.

How many cubic feet in a cubic yard (the 27 rule)

The number 27 is not arbitrary, and understanding where it comes from makes the formula stick. A yard is 3 feet. A cubic yard is a cube that measures one yard, or 3 feet, along every edge. To find the volume of that cube you multiply its three sides: 3 feet times 3 feet times 3 feet, which is 27 cubic feet. So one cubic yard contains 27 cubic feet, always.

The reason this trips people is that the linear conversion, 3 feet to a yard, feels like it should carry over to volume, and it does not. Doubling from feet to yards in one dimension is a factor of 3, but volume works in three dimensions at once, so the factor becomes 3 cubed, which is 27. Anyone who divides a cubic-foot volume by 3 instead of 27 ends up ordering roughly nine times too much material, which is a memorable and expensive way to learn the rule once.

The chart shows the other half of the relationship. Because area is fixed here, the cubic yards rise in direct proportion to depth: 4 inches gives twice the volume of 2 inches, and 12 inches gives six times as much. That linearity is worth internalizing, because it means a small error in the depth you assume, half an inch here, an inch there, moves the order more than you would expect on a large area.

Converting depth in inches to feet

This is the step that quietly wrecks more estimates than any other, so it earns its own section. Length and width are usually measured in feet already, but depth, the thickness of a slab, the layer of gravel, the fill in a bed, is almost always thought of in inches. The formula needs feet. So before you multiply, divide the depth in inches by 12, because there are 12 inches in a foot.

A 4 inch depth is 4 divided by 12, which is 0.333 feet. A 6 inch depth is 0.5 feet. A 3 inch depth is 0.25 feet. Two inches is about 0.167 feet. Skip this conversion and multiply by the raw inch figure, and your volume comes out twelve times too large, which is the kind of error that turns a two-yard order into a laughable one. When a cubic yard result looks absurdly big, an un-converted depth is the first thing to check.

If you would rather not do the inch-to-foot step by hand, the material coverage estimator takes depth in inches directly and handles the conversion for you, which removes the single most common source of a wrong cubic yard figure.

How to calculate cubic yards for concrete

Concrete is a volume material, so it follows the master formula exactly: length times width times thickness in feet, divided by 27. The one thing to respect is that concrete is unforgiving of under-ordering, because a small partial second batch is impractical to obtain and blend, and a cold joint from a delayed pour can weaken the slab. That makes the waste allowance and the rounding-up more important here than almost anywhere else.

Work a 12 foot by 12 foot slab at 4 inches thick. Depth first: 4 divided by 12 is 0.333 feet. Volume: 12 times 12 times 0.333 is about 48 cubic feet. Convert: 48 divided by 27 is roughly 1.78 cubic yards. Add a modest overage and you would order around 2 cubic yards, or discuss a short-load with the supplier. For the full walk from slab dimensions to a firm concrete order, including thickness choices and short-load fees, see our manual on how much concrete you need.

Two concrete-specific cautions. Thickness drives the order more than people expect, so a jump from 4 to 6 inches is a 50 percent increase in volume, not a rounding detail. And ready-mix is usually sold in fractions of a yard with a short-load charge below a full truck, so knowing your cubic yardage precisely lets you judge whether bagging or a delivery is the cheaper route.

How to calculate cubic yards of gravel

Gravel uses the identical formula, area times depth in feet, divided by 27, but two things about it differ in practice. First, the depth is a layer, not a full fill, so a driveway might want 4 inches of surface gravel over a deeper base course, and each layer is its own calculation. Second, gravel is frequently sold and hauled by weight, so the cubic yards you calculate often get converted to tons before you order.

Take a driveway 40 feet long and 10 feet wide, topped with a 4 inch gravel layer. Area is 40 times 10, which is 400 square feet. Depth is 4 divided by 12, or 0.333 feet. Volume is 400 times 0.333, about 133 cubic feet, and 133 divided by 27 is roughly 4.9 cubic yards. Gravel compacts and scatters, so a 5 to 10 percent overage is sensible. To carry that number through to a driveway order, including base versus surface layers and delivery, our manual on how much gravel you need is the companion to this one.

Cubic yards to tons for ordering

Because gravel, sand, and often soil are sold by weight, the cubic yards you calculate frequently need a second conversion into tons. This one is a multiplication, not a formula change: multiply the cubic yards by the material’s density in tons per cubic yard. The volume calculation comes first, always, and the tonnage is layered on top of a number you have already worked out.

Densities vary with material and moisture, but figures commonly cited put crushed gravel around 1.4 tons per cubic yard, dry topsoil near 1.1, and dry sand about 1.35, with wet material heavier. So the 4.9 cubic yards of driveway gravel above, at roughly 1.4 tons per yard, is about 6.9 tons. Never try to guess tonnage directly, because weight is even harder to eyeball than volume. Our tons-to-cubic-yards conversion note lists typical densities and shows the math running in both directions, which is what you want when a yard quotes in tons and your plan is in yards.

How to convert square feet to cubic yards

This is one of the most common questions, and the honest answer starts with a correction: you cannot convert square feet directly to cubic yards, because they measure different things. Square feet are area, a flat measurement of a surface. Cubic yards are volume, a measurement of the space a material fills. Turning one into the other requires the piece of information a square footage alone does not carry: a depth.

Once you supply the depth, the conversion is easy. Take the area in square feet, multiply by the depth in feet to get cubic feet, then divide by 27 for cubic yards. So 300 square feet at 4 inches deep is 300 times 0.333, about 100 cubic feet, and 100 divided by 27 is roughly 3.7 cubic yards. If someone hands you only a square footage and asks for cubic yards, the correct response is to ask how deep, because without that number the question has no answer.

How to calculate cubic yards for a circle or round area

Round patios, planters, tree rings, and column footings all need cubic yards, and the only difference from a rectangle is how you find the area. A rectangle is length times width; a circle is pi times the radius squared. The radius is half the diameter, and pi is about 3.14159. Once you have the circle’s area in square feet, the rest is identical: multiply by the depth in feet and divide by 27.

Work a round bed 10 feet across at 6 inches deep. The radius is half of 10, which is 5 feet. The area is pi times 5 squared, or 3.14159 times 25, about 78.5 square feet. Depth is 0.5 feet. Volume is 78.5 times 0.5, about 39.3 cubic feet, and 39.3 divided by 27 is roughly 1.45 cubic yards. The trap to avoid is squaring the diameter instead of the radius, which quadruples the area and the order. Always halve the diameter to the radius before you square it.

Irregular areas: break them into rectangles

Real yards, patios, and slabs are rarely perfect rectangles or circles, and the reliable way to handle an odd shape is not a clever single formula but a simple habit: break the area into pieces you can calculate, work each one, and add the volumes together. An L-shaped patio is two rectangles. A driveway that widens at the apron is a rectangle plus a trapezoid you can split further. A curved bed is a rectangle plus a half-circle.

Calculate the cubic yards for each piece separately, at its own depth if the depths differ, then sum them for the total order. This is far more accurate than trying to average an irregular shape by eye, and it keeps the arithmetic honest, since each piece is a clean length-times-width-times-depth calculation. When a shape has a hole in it, a planter in a patio, a column footing in a slab, calculate the outer shape and subtract the hole rather than trying to trace the leftover outline. Divide, conquer, and add: that is the whole technique for anything the standard shapes do not cover.

The waste and overage allowance

The calculated cubic yardage is the volume of a perfect, tidy hole, and real excavation is neither perfect nor tidy. Ground is uneven, edges slump, some material compacts, some spills off the truck and the wheelbarrow, and the bottom of a hand-dug trench is never as flat as the formula assumes. To cover that gap, add an overage, commonly 5 to 10 percent on top of the calculated cubic yards, and more for rough, sloping, or irregular ground.

The chart makes the point that the number you calculate and the number you order are not the same. On a 2.0 cubic yard slab, a 12 percent allowance and a round-up to the supplier’s nearest quarter or half yard can lift the order to 2.5 cubic yards, and that cushion is cheap insurance. Running a little long on a bulk material costs a few dollars; running short costs a second delivery fee, a stalled job, and on concrete a possible cold joint. The overage is one of the easiest ways to protect a project, and it is the reason the formula figure is a floor, not the final order.

A quick reference table

For quick sizing before you reach for a calculator, it helps to have a few common area-and-depth combinations memorized or written down. These are illustrative round figures for a rectangular area, all following the same length-times-width-times-depth, divided by 27 method.

Every row is area in square feet times depth in feet, divided by 27. Because the relationship is linear, you can scale any row: double the area or the depth and the cubic yards double with it. These are illustrative round figures for a rectangular area.

Use the table as a sanity check rather than a substitute for the calculation. If your worked figure lands far from the nearest comparable row, that is a prompt to look for a units mistake, usually a depth left in inches or a diameter squared instead of a radius. A reference table catches the order-of-magnitude errors that are easy to make and expensive to miss.

How to calculate cubic yards for topsoil and dirt

Topsoil and fill dirt are volume materials like the rest, so the formula does not change: area times depth in feet, divided by 27. What changes is that soil settles and compacts noticeably, especially when it is placed loose and then watered or walked on, so the practical overage tends to run toward the higher end of the range. A bed that measures a tidy 3 cubic yards of space often wants a bit more soil than that once it settles.

For a raised bed 8 feet by 4 feet filled 10 inches deep, depth is 10 divided by 12, about 0.833 feet. Volume is 8 times 4 times 0.833, about 26.7 cubic feet, and 26.7 divided by 27 is very close to 1 cubic yard. Garden soil is usually sold by the cubic yard in bulk or by the bag for small jobs, and the crossover between bags and a bulk delivery is worth checking, since a single yard is a lot of bags to haul. Our manual on how much topsoil you need carries a bed from dimensions to a settled, delivered order.

Common cubic yard mistakes

A handful of errors account for nearly every wrong cubic yard figure, and all of them are easy to catch once you know to look.

• Leaving the depth in inches. Multiplying by 4 instead of 0.333 makes the volume twelve times too big. Always divide inch depths by 12 first.
• Dividing by 3 instead of 27. A cubic yard is 27 cubic feet, not 3. Dividing by 3 over-orders by roughly nine times.
• Squaring the diameter of a circle. Use the radius, half the diameter, then square it. Squaring the full diameter quadruples the area.
• Converting square feet without a depth. Area cannot become volume until you supply how deep the material goes.
• Guessing tonnage directly. Calculate cubic yards first, then multiply by density. Weight is even harder to judge by eye than volume.

Every one of these is a units or dimensions slip, which is why the discipline of putting all three measurements into feet before you multiply, and dividing by 27 at the end, is the habit that prevents almost all of them.

Worked example: a concrete slab

Pull the method together on a real pour. Say you are placing a shed slab, 10 feet by 10 feet, at 4 inches thick. Start with depth: 4 inches divided by 12 is 0.333 feet. Volume: 10 times 10 times 0.333 is about 33.3 cubic feet. Convert: 33.3 divided by 27 is roughly 1.23 cubic yards.

Now the ordering judgment. Concrete under-orders badly, so add an overage and consider the supplier’s increments. A 10 percent allowance takes 1.23 to about 1.36 cubic yards, and a ready-mix yard selling in quarter yards would likely round you to 1.5. So the calculated 1.23 becomes an order of about 1.5 cubic yards, or a conversation about bagged concrete if a delivery minimum makes a small pour uneconomical. The formula gave the honest volume; the overage and the supplier’s increments turned it into a safe order. That two-step move, calculate then cushion, is the pattern for every bulk purchase.

Worked example: a gravel driveway

Now a larger, weight-sold job. A driveway runs 45 feet long and 12 feet wide, and you want a 4 inch surface layer of crushed gravel. Area is 45 times 12, which is 540 square feet. Depth is 4 divided by 12, or 0.333 feet. Volume is 540 times 0.333, about 180 cubic feet, and 180 divided by 27 is roughly 6.67 cubic yards.

Because gravel scatters and compacts, add around 10 percent, taking it to about 7.3 cubic yards. If the yard sells by weight, convert: 7.3 cubic yards at roughly 1.4 tons per cubic yard is about 10.2 tons. So one measured driveway produces two numbers, about 7.3 cubic yards or about 10.2 tons, and which one you quote depends on how the supplier sells. This is exactly the situation the tons-to-cubic-yards conversion note is built for, so you can walk into the order fluent in both units and read the quote against your own figure.

Worked example: a garden bed

Finally a soil job with an irregular twist. Suppose a bed is an L-shape: one rectangle 6 feet by 4 feet, and a second 4 feet by 3 feet, both filled 8 inches deep. Break it into the two rectangles. Depth is 8 divided by 12, about 0.667 feet. First piece: 6 times 4 times 0.667 is about 16 cubic feet. Second piece: 4 times 3 times 0.667 is about 8 cubic feet. Total volume is 24 cubic feet, and 24 divided by 27 is roughly 0.89 cubic yards.

Soil settles, so round up rather than down, and a bit under a cubic yard is a fine bulk order or a manageable pile of bags. The lesson of this example is the break-into-rectangles habit: an L-shape has no single formula, but split into two clean rectangles it is no harder than the simplest calculation, and the two volumes add straight together. Any irregular area yields to the same treatment, which is why the shape of the ground never has to be an obstacle to a firm order. Run any of these through the material coverage estimator and the arithmetic, including the divide-by-27 step, is done for you.

Converting cubic yards to cubic meters

Plans and suppliers outside the United States quote bulk material in cubic meters, so the cubic yard you calculate sometimes needs one more conversion. The two units are close but not equal: one cubic yard is about 0.765 cubic meters, and one cubic meter is about 1.31 cubic yards. To go the metric route from the start, calculate the volume in cubic feet as usual, then divide by 35.3 rather than 27, because a cubic meter holds about 35.3 cubic feet.

Take the 100 square foot area at one foot deep that came to about 3.7 cubic yards. In metric, 100 cubic feet divided by 35.3 is roughly 2.83 cubic meters, and 3.7 cubic yards times 0.765 lands in the same place. Both figures describe the identical hole; only the unit changed. When a supplier quotes per cubic meter and your plan is in yards, multiply your yards by 0.765 to compare like with like, and keep the waste allowance and the round-up exactly as they were.

The reason to carry the conversion rather than guess is that the two units are close enough to be dangerous. A cubic meter is only about 31 percent larger than a cubic yard, so a figure that looks roughly right in the wrong unit can still leave you a meaningful fraction short. Convert deliberately, note which unit each number is in, and a metric quote stops being a trap.

Worked example: a two-layer gravel driveway

Gravel driveways are rarely one depth, so work a layered one, because it shows how the same formula runs twice and sums. Say the drive is 50 feet long and 12 feet wide, with a 6 inch compacted base course of coarse stone under a 3 inch surface layer of finer gravel. The footprint is 50 times 12, which is 600 square feet, and both layers share it, exactly as a slab and its base share a footprint.

Base layer first: 6 inches is 0.5 feet, so 600 times 0.5 is 300 cubic feet, and 300 over 27 is about 11.1 cubic yards. Surface layer next: 3 inches is 0.25 feet, so 600 times 0.25 is 150 cubic feet, and 150 over 27 is about 5.6 cubic yards. The two layers together are about 16.7 cubic yards before waste. Gravel scatters and compacts, so add around 10 percent, taking the order near 18.4 cubic yards.

Because gravel is usually sold by weight, convert each figure with its own density if the two materials differ, then sum the tons, rather than converting the combined yards at one density. At a figure commonly cited near 1.4 tons per cubic yard, 18.4 yards is roughly 25.8 tons. The lesson the two layers teach is the one that carries to any multi-course job: calculate each layer as its own volume at its own depth, sum the yards, and add waste once at the end. Our manual on how much gravel you need carries a driveway all the way to a delivered order.

Averaging depth on sloped or uneven ground

Every worked example so far assumed one clean depth, and real ground rarely offers it, so the last skill is handling a depth that changes across the area. When a slab or a fill sits on ground that slopes, or in a trench whose bottom undulates, the honest volume uses the average depth, not a single reading. Measure the depth at several points, spread evenly across the area, add them, and divide by the number of readings to get the average, then run that average through the same length times width times depth line.

Take a fill area 10 feet by 12 feet where the depth reads 4 inches at the high end and 8 inches at the low end, sloping steadily between. The average depth is 6 inches, or 0.5 feet, so the volume is 10 times 12 times 0.5, which is 60 cubic feet, and 60 over 27 is about 2.2 cubic yards. Using only the shallow reading would have under-ordered badly, and using only the deep one would have over-ordered, which is why the average is the number to trust.

Two cautions keep the average honest. On a strong slope the fill is a wedge, and if the depth does not change steadily, a simple two-point average can mislead, so take more readings where the ground is irregular and average all of them. And on any material that punishes under-ordering, lean toward the deeper readings when in doubt, because the cost of a little surplus is small and the cost of a shortfall is a stalled job. An average is only as good as the readings behind it, so measure generously before you trust one.

The bottom line

Calculating cubic yards is one formula worn many ways: length times width times depth in feet, divided by 27. Convert the depth from inches to feet first, remember that a cubic yard is 27 cubic feet because it is a 3-foot cube, and the same three steps carry you through a concrete slab, a gravel driveway, a soil bed, a round planter, and any irregular area you break into rectangles. Add a 5 to 10 percent overage because real ground is not as tidy as arithmetic, convert to tons with the material’s density only after you have the cubic yards, and round up to how the supplier sells. Do that, and the number you hand the yard is one you can trust, on the first delivery.

Read these pages as bench notes meant to teach the method, not as an order you can sign without checking. The densities, waste allowances, and dollar-free figures here are typical illustrative values, and the real numbers shift with the material, its moisture, the ground, and the supplier. Measure your own space, run it through the formula, confirm the depth and the density with the yard, and verify the quantity before any load is booked.