Cubic Yard Calculator Sand: Volume & Weight

A cubic yard calculator for sand tells you how many cubic yards of sand you need to fill a given space, and it converts that volume into the weight in tons or pounds based on the sand’s density. You enter the length, width, and depth of the area (in feet or inches), and the calculator returns the volume in cubic yards and the estimated weight. This is the first step in ordering sand for a sandbox, paver base, or landscaping project, because sand is sold by the cubic yard but delivered by the ton.

Formula

The calculator uses two standard formulas. First, it finds the volume in cubic feet: Volume (ft³) = Length (ft) × Width (ft) × Depth (ft). Since depth is entered in inches, it is first divided by 12 to convert to feet. Then it converts cubic feet to cubic yards by dividing by 27, because one cubic yard equals 27 cubic feet (3 ft × 3 ft × 3 ft).

For weight, the calculator multiplies the volume in cubic feet by the density of sand in pounds per cubic foot (lb/ft³), then divides by 2,000 to get tons (U.S. short tons). The variables are:

• Length – the longest side of the area, in feet
• Width – the shorter side, in feet
• Depth – how deep the sand layer will be, in inches
• Density – how heavy the sand is per cubic foot, typically 90–130 lb/ft³

If you measure in metric, the same logic applies: volume in cubic meters = length (m) × width (m) × depth (m), and weight in tonnes = volume (m³) × density (kg/m³) / 1,000.

Worked Example

Using the default values from the calculator – length 10 ft, width 5 ft, depth 4 in, density 100 lb/ft³ – here is the step-by-step calculation:

1. Convert depth to feet: 4 in ÷ 12 = 0.333 ft
2. Volume in cubic feet: 10 × 5 × 0.333 = 16.65 ft³
3. Convert to cubic yards: 16.65 ÷ 27 = 0.617 yd³
4. Weight in pounds: 16.65 × 100 = 1,665 lb
5. Convert to tons: 1,665 ÷ 2,000 = 0.83 tons

The calculator rounds the cubic yards to 0.62 and the weight to 0.83 tons, matching the example. This tells you that a 10×5 ft area, 4 inches deep, needs about two-thirds of a cubic yard of sand, which weighs roughly 0.83 tons.

Why Sand Density Matters

Sand is not a single material – its weight per cubic foot varies widely. Dry loose sand weighs about 90–100 lb/ft³, while damp compacted sand can reach 120–130 lb/ft³. The density you choose changes the weight estimate by up to 40%, which directly affects delivery cost and whether your truck or trailer can handle the load.

Common density values you can use:

• Dry loose sand: 90 lb/ft³ (1,440 kg/m³)
• Dry packed sand: 100–110 lb/ft³ (1,600–1,760 kg/m³)
• Wet sand: 120–130 lb/ft³ (1,920–2,080 kg/m³)

If you are ordering from a supplier, ask for the specific gravity or density of the sand they sell. Most suppliers list a standard weight per cubic yard (e.g., 2,700 lb per cubic yard), which you can convert to lb/ft³ by dividing by 27.

How to Measure Your Area Correctly

Getting the volume right starts with accurate measurements. For a rectangular area, measure the length and width in feet, and the depth in inches. For irregular shapes, break the area into rectangles, calculate each separately, and add the volumes together.

Common mistakes that lead to under- or over-ordering:

• Mixing units – always convert inches to feet before multiplying
• Forgetting to divide by 27 when going from cubic feet to cubic yards
• Assuming the depth is in feet when you measured in inches
• Ignoring compaction – sand settles, so add 10–15% extra for paver bases or backfill

For a circular sandbox, use the formula for a cylinder: π × radius² × depth, then divide by 27. For a triangular area, multiply base × height × 0.5, then multiply by depth.

Ordering Sand: Volume vs. Weight

Sand is sold by the cubic yard, but delivery trucks weigh the load and charge by the ton. This means you need both numbers. The calculator gives you the cubic yards for the order and the tons for the delivery cost.

For example, a typical paver project needs a 1-inch sand bed under the pavers. For a 10×10 ft patio, that is 100 ft² × 0.083 ft = 8.3 ft³, or 0.31 yd³. At 100 lb/ft³, that weighs about 830 lb, or 0.42 tons. Most suppliers have a minimum delivery order (often 1–2 cubic yards), so you may pay for more than you need if your project is small.

When ordering, tell the supplier both the cubic yards and the tons you calculated. They will confirm the weight based on their sand’s moisture content. If the sand is wet, it will weigh more, so your tonnage estimate should be on the higher end.

Common Problems and How to Avoid Them

One of the most frequent issues is ordering too little sand because the depth was measured incorrectly. A 4-inch layer of sand for a paver base is common, but if you are filling a sandbox, you might want 6–12 inches. Always measure the depth after leveling the ground, not before.

Another problem is assuming all sand is the same. Play sand is fine and washed, while mason sand has a different grain size, and fill sand is coarser and cheaper. The density differs, but the volume calculation stays the same – only the weight estimate changes. If you use the wrong density, your tonnage will be off, and the delivery truck might be overloaded or underloaded.

Finally, remember that sand compacts. When you spread it and water it, it settles by about 10–15%. For a paver base, add that extra to your depth measurement. For a sandbox, you might not need extra, since you want loose sand for play.

Comparing Sand to Other Fill Materials

Sand is not always the right choice. For a paver base, crushed stone (gravel) is often used underneath, with a thin layer of sand on top for leveling. Crushed stone compacts better and drains more effectively. For a sandbox, play sand is the standard, but some parents prefer non-toxic alternatives like rubber mulch or pea gravel, though those are not technically sand.

In terms of weight, sand is heavier than most mulches but lighter than crushed stone. A cubic yard of crushed stone weighs about 2,500–2,700 lb, while sand is about 2,400–2,700 lb depending on moisture. If you are comparing costs, sand is usually cheaper than specialty aggregates, but delivery fees can dominate for small orders.

Safety and Handling Tips

Sand is heavy – a cubic yard can weigh over a ton. Never try to lift a full bag of sand by yourself; use a wheelbarrow and keep loads under 200 lb. When spreading sand, wear a dust mask to avoid inhaling fine particles, especially if the sand is dry. Wet sand is easier to manage but heavier, so be careful when shoveling.

For children’s sandboxes, use play sand that is labeled as safe for that purpose. Avoid sand from unknown sources that might contain silica dust or contaminants. If you are using sand for concrete or mortar, follow the mix ratios from the manufacturer – never substitute sand without checking the intended use.

Frequently Asked Questions

How many cubic feet are in a cubic yard of sand?

There are exactly 27 cubic feet in one cubic yard (3 ft × 3 ft × 3 ft). This is the conversion factor you divide by when going from cubic feet to cubic yards.

How much does a cubic yard of sand weigh?

It depends on moisture and compaction. Dry loose sand weighs about 2,400–2,700 lb per cubic yard (1.2–1.35 tons). Wet sand can weigh up to 3,200 lb per cubic yard (1.6 tons). Use 2,700 lb as a safe average for ordering.

How many 50 lb bags of sand do I need for one cubic yard?

One cubic yard of dry sand weighs about 2,700 lb, so you would need 54 bags of 50 lb each (2,700 ÷ 50 = 54). For a smaller project, calculate your cubic yards and multiply by 54 to get the number of bags.

Can I use this calculator for paver sand?

Yes, but add 10–15% extra to the depth to account for compaction. For a 1-inch paver sand bed, set the depth to 1.1–1.15 inches in the calculator, or just calculate the volume for 1 inch and add 10% to the final cubic yards.

What is the difference between a cubic yard and a ton of sand?

A cubic yard is a volume measurement (3 ft × 3 ft × 3 ft), while a ton is a weight measurement (2,000 lb). The relationship depends on density: 1 cubic yard of dry sand weighs about 1.35 tons, so 1 ton of dry sand is about 0.74 cubic yards. For wet sand, 1 ton is about 0.63 cubic yards.

Should I order more sand than the calculator says?

Yes, for most projects, order 10–15% extra to account for settling, spillage, and uneven ground. For a sandbox, you might not need extra, but for paver bases and backfill, the extra is essential to avoid running short.

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in length | Length | ft | 10 | 0
in width | Width | ft | 5 | 0
in depth | Depth | in | 4 | 0
in density | Sand density | lb/ft³ | 100 | 0
out cubic_yards | Cubic yards | yd³ | (length * width * (depth / 12)) / 27 | 2
out weight_tons | Estimated weight | tons | ((length * width * (depth / 12)) * density) / 2000 | 2