Sand Calculator

To find how much sand you need, multiply area (sq ft) by depth (ft) for cubic feet, then divide by 27 for cubic yards. A 20 ft × 10 ft area at 2 in deep is 33.3 cubic feet = 1.23 cubic yards, about 1.67 tons or 67 bags of 50 lb sand. Order 10% extra.

Sand is one input in a bigger build. Pour a slab over the bed with the Concrete Calculator, coat the finished structure with the Paint Calculator, and for the roof above it size shingles with the Roofing Calculator after checking slope in the Roof Pitch Calculator. Use this sand calculator only for loose fill measured by volume.

Sand is sold two completely different ways (by the bag at a hardware store and by the cubic yard or ton from a bulk supplier), and the two don't line up in your head. This page bridges that gap: enter the space you're filling and you get every unit at once, plus a built-in waste allowance, so whether you're buying a few bags for a sandbox or a truckload for a paver patio, you know exactly what to ask for.

The formula behind the calculator

There is no mystery here: it is just volume, then a couple of unit conversions:

Depth is divided by 12 to convert inches to feet. The result, in cubic feet, is divided by 27 because a cubic yard is 3 ft × 3 ft × 3 ft = 27 cubic feet. Weight comes from multiplying the cubic yards by a typical dry-sand density of about 1.35 tons (2,700 lb) per cubic yard. To count bags, the calculator divides the total weight in pounds by your chosen bag size and rounds up.

A worked example, step by step

Suppose you are laying a sand bed under a small patio that measures 20 feet long and 10 feet wide, and you want a 2-inch layer:

1. Area: 20 ft × 10 ft = 200 square feet.
2. Depth in feet: 2 in ÷ 12 = 0.167 ft.
3. Cubic feet: 200 × 0.167 = 33.3 cubic feet.
4. Cubic yards: 33.3 ÷ 27 = 1.23 cubic yards.
5. Tons: 1.23 × 1.35 = 1.67 tons (about 3,330 lb).
6. Bags: 3,330 lb ÷ 50 lb = 67 bags of 50 lb sand.
7. Order with 10% extra: about 1.36 cubic yards, or 74 bags.

Every number you saw in the calculator above comes straight from those steps, so you can sanity-check the result by hand any time.

How to measure your area and depth

Accurate inputs are everything: a small error in depth multiplies across the whole area. Here is how to get good numbers:

1. Length and width: measure the space in feet with a tape measure. For a long, narrow strip, measure end to end and edge to edge. Round to the nearest tenth of a foot. For an odd-shaped space, work out the area first with the Square Footage Calculator.
2. Depth: decide how thick the sand layer should be and enter it in inches. Guessing the depth is the most common mistake, so think about the job, not a round number.
3. Bag size: if you plan to buy bags, pick the size your store stocks (40, 50, 60, or 100 lb) so the bag count matches what you'll actually load into the cart.
4. Read every unit: the results update as you type. The cubic yards figure is for bulk orders; tons matter if your supplier prices by weight; bags are for the hardware-store run.

How deep should the sand be?

Depth is the input people get wrong most often, so use these typical figures as a starting point:

• Paver bedding sand: about 1 inch of screeded sand over a compacted gravel base.
• Sandbox: as deep as the box allows; deeper fill gives kids more room to dig.
• Under swings and climbers: at least 9 inches of compressed sand, which the CPSC playground handbook rates for falls up to 4 feet; install about 12 inches because loose fill compresses.
• Above-ground pool base: a sand cushion, commonly about 2 inches; follow the pool manufacturer's instructions.
• Under-slab or pipe bedding: follow the spec for the job.

When in doubt, measure the depth of the space you actually need to fill rather than copying a generic figure.

Who this sand calculator is for

Anyone who needs to translate a project into an order:

• DIY homeowners laying pavers, building a sandbox, or leveling a patch of yard.
• Landscapers and contractors who need a quick second check on a takeoff.
• Pool owners figuring out the sand base under an above-ground pool.
• Parents sizing a play-sand order for a new sandbox.
• Anyone comparing bagged vs. bulk pricing before deciding how to buy.

Key terms explained

• Cubic foot: a 1 ft × 1 ft × 1 ft box of volume. A 50 lb bag of dry sand holds roughly half a cubic foot.
• Cubic yard: 27 cubic feet (3 ft on each side). The standard unit for bulk landscape materials.
• Ton: 2,000 pounds. Bulk suppliers frequently price and deliver sand by the ton.
• Density: weight per unit of volume. Dry sand is about 2,700 lb per cubic yard; wet or compacted sand is heavier.
• Waste factor: the small percentage (here 10%) you add on top of the exact volume to cover compaction, spillage, and uneven ground.
• Coverage: how much area a given volume covers at a chosen depth; the inverse of what this calculator does.

Three quick scenarios

The same math scales up and down. Here is how it plays out for three common jobs:

• Sandbox (6 ft × 6 ft, 3 in deep): 36 sq ft × 0.25 ft = 9 cubic feet = 0.33 cubic yards, about 0.45 tons or 18 bags of 50 lb. Bagged sand is fine at this size.
• Paver patio bedding (12 ft × 12 ft, 1 in deep): 144 sq ft × 0.083 ft = 12 cubic feet = 0.44 cubic yards, about 0.6 tons or 24 bags of 50 lb, so compare that with a bulk half yard.
• Pool base (24 ft round, 2 in deep): a 24 ft circle is about 452 sq ft; at 2 in that's roughly 75 cubic feet = 2.8 cubic yards, about 3.8 tons. Definitely a bulk delivery.

How much sand do I need? Common jobs by area and depth

This matrix runs the exact formula for typical projects so you can read the answer directly. Assumes dry sand at 1.35 tons (2,700 lb) per cubic yard; the last column adds a 10% waste allowance.

Bag counts are rounded up to whole bags, as in the calculator. To decide between bags and bulk, compare the bag total with a bulk price per yard or ton plus delivery.

How many 50 lb bags of sand for an above-ground pool base?

A round pool sits on a leveled sand cushion, commonly about 2 inches under the liner (follow your pool manufacturer's instructions). These figures use the circle area (π × radius²) at 2 in deep, dry sand; the last column is the +10% order rounded up to whole 50 lb bags.

For an 18 ft round pool at 2 in, plan on about 94 bags of 50 lb sand (1.7 cubic yards with the 10% extra); at that size, price a bulk cubic-yard delivery against the bags. A 1 in cushion halves every figure.

Bags vs. bulk: which is cheaper?

Bagged sand is convenient and clean but expensive per pound; bulk sand by the yard or ton needs delivery or a truck and somewhere to dump it. To compare, multiply the price of one 50 lb bag by 54 (the bags in a cubic yard) or by 40 (the bags in a ton) and set that against the bulk price per yard or per ton plus the delivery fee. On small jobs the convenience of bags often outweighs the premium; on larger ones the bag count climbs fast. The calculator gives you both the cubic-yard figure and the bag count so you can price each option with your local supplier.

Sand bag conversion chart: cubic feet, coverage, and bags per yard

Dry sand runs about 100 lb per cubic foot, so a 50 lb bag holds roughly half a cubic foot. This chart turns any bag size into cubic feet, square-foot coverage at common depths, and how many it takes to fill one cubic yard (27 cubic feet).

Coverage assumes level fill at the stated depth before compaction. Weights and volumes use a nominal 100 lb per cubic foot; a very fine or damp sand packs slightly denser.

What changes the result the most

Adjust the inputs and you'll see a few factors dominate the answer:

• Depth: the lever people underestimate, since doubling depth doubles the sand. A change from 1 inch to 2 inches is a 100% increase.
• Area: length and width multiply together, so a small increase in both grows the volume quickly.
• Sand type and moisture: the tonnage assumes dry sand; wet or fine sand weighs more per yard, which matters when buying by weight.
• Compaction: sand settles, so the placed depth ends up less than the loose depth, another reason for the 10% margin.

Practical tips

• Always order about 10% extra. Running short means a second trip or a second delivery fee, which costs more than a little leftover sand.
• Buy the right sand for the job. Sharp/concrete sand for paver bedding, sand sold for play use in sandboxes, mason sand for finer work; density is similar but the product matters.
• Compact in layers for anything structural, and re-check the depth after compacting.
• Confirm density with your supplier if you're buying many tons; their actual figure may differ slightly from 1.35 tons per yard.
• Keep sand dry until use where you can: wet sand is heavier to haul and harder to screed level.

Limitations and assumptions

This is a planning estimate, not a guaranteed order quantity. Keep these in mind:

• The area is treated as a simple rectangle; for circles or irregular shapes, split the space into rectangles and add the results.
• Weight uses an average dry-sand density; your sand's actual weight depends on grain size, moisture, and compaction.
• It does not account for a separate base layer (such as gravel); calculate that material on its own.
• Bag counts assume each bag holds its full rated weight; real coverage per bag can vary slightly by brand.
• It does not include delivery fees, taxes, or pricing; get those from your supplier.

Common sand types and which job they suit

The volume math in this calculator is identical for every sand, but the product you buy is not interchangeable. Picking the wrong grade is one of the most expensive mistakes on a project because you usually can't reuse it elsewhere:

• Bedding / paver sand (concrete or sharp sand): coarse, angular grains that lock together and resist washout. This is what you screed to about 1 inch under pavers. The joints are usually filled with a finer joint sand or polymeric sand instead.
• Play sand: washed and screened so it is soft for children. Buy a product labeled for play use for a sandbox rather than construction sand.
• Mason sand: very fine and uniform, used in mortar and as a smooth base layer. It packs tightly, so a layer can settle more than coarse sand.
• All-purpose / utility sand: a general-grade fill for backfilling, traction, or weighting. Cheaper, but not graded for structural bedding.
• Pool filter sand: a specific grade made for sand filters; use the grade your filter manufacturer specifies rather than landscape sand.

The weight estimate here assumes typical dry sand at about 1.35 tons per cubic yard. Fine sands like mason sand pack a little denser, and any sand soaks up water, so a damp pile can weigh noticeably more than the calculator shows. When you buy by the ton this matters; when you buy by the cubic yard it does not, because you are paying for volume.

Calculating sand for a circular or irregular area

This calculator assumes a rectangle (length × width), which is fine for patios, sandboxes, and trenches. For other shapes, convert to an equivalent square footage first and enter dimensions that reproduce it:

• Circle (round pool base, fire-pit surround): area = π × radius². A 12 ft diameter circle has a 6 ft radius, so area = 3.14 × 36 = about 113 sq ft. Enter, say, 11.3 ft × 10 ft to match.
• Triangle: area = ½ × base × height. Useful for corner beds and odd lot edges.
• Irregular shape: sketch it, divide it into rectangles and triangles, calculate each piece, and add the square footages before entering a single equivalent rectangle.

If you only need the area and want to skip the arithmetic, the Square Footage Calculator handles rectangles, circles, and triangles, and you can feed its result straight into your depth here.

From estimate to a confident order

Once the calculator gives you cubic yards, tons, and a bag count, turn it into an order you can place without second-guessing. First decide your buying method from the volume: under about half a cubic yard, bags are usually the practical choice; above that, price a bulk delivery. Second, apply the 10% (or more) waste figure rather than the exact number: it is cheaper to have a wheelbarrow of sand left over than to pay a second delivery fee or make another store run mid-job. Third, match the unit to how your supplier sells: landscape yards often quote by the cubic yard, while bulk pits price by the ton, so carry both figures with you. Finally, confirm the supplier's actual density if you are ordering several tons: small differences add up at scale, and a quick phone call removes the guesswork the average density in this tool can't.

Related materials and calculators

Sand is rarely the only material in a project. For the surrounding work, a sister tool fits better:

• For the slab or footing over the sand bed, use the Concrete Calculator.
• For the gravel base under bedding sand, use the Gravel Calculator.
• To measure the area first, use the Square Footage Calculator.
• For any other material by volume, use the Cubic Yard Calculator.
• For landscape beds, use the Mulch Calculator; for walls and surfaces, the Paint Calculator.

Sources

• U.S. Department of the Army: FM 5-434, Earthmoving Operations (June 2000, PDF copy), Table 1-2: dry sand 2,600 to 2,900 lb and wet sand 2,800 to 3,100 lb per loose cubic yard.
• U.S. Consumer Product Safety Commission: Public Playground Safety Handbook (PDF), Table 2 (9 inches of compressed sand protects falls up to 4 feet).
• National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C (PDF) (27 cubic feet = 1 cubic yard, 2,000 pounds = 1 ton).