Paver Sand Calculator: Volume and Weight for Patios

What Is a Paver Sand Calculator?

A paver sand calculator estimates how much sand is needed to build the sand bed under patio or driveway pavers. It multiplies the area of the paved surface by the depth of the sand layer, then converts that volume into a weight so the material can be ordered and hauled.

Why Sand Goes Under Pavers

Pavers rest on a layer of sand called the bedding layer. One Iowa Department of Transportation paver specification calls for a bedding layer screeded to a nominal 1 inch, and not more than 1½ inches (about 2.5 to 3.8 centimeters). This layer lets an installer level each paver precisely and lets water drain away from the surface. A second, thinner layer of sand, called joint sand, is swept into the gaps between pavers after they are laid. Joint sand locks the pavers together and keeps weeds from growing between them. This calculator estimates the bedding layer, which uses most of the sand on a typical project.

How to Calculate Paver Sand: The Formula

Sand volume equals length times width times depth:

$\text{Sand Volume} = \text{Length} \times \text{Width} \times \text{Depth}$

The exact formula depends on the unit system.

Imperial units (feet and inches)

$\text{Volume (yd}^3\text{)} = \frac{\text{Length (ft)} \times \text{Width (ft)} \times \left(\text{Depth (in)} \div 12\right)}{27}$

Dividing by 12 turns the depth from inches into feet. Dividing by 27 turns cubic feet into cubic yards, the unit sand is usually sold in in the United States.

Metric units (meters and centimeters)

$\text{Volume (m}^3\text{)} = \text{Length (m)} \times \text{Width (m)} \times \left(\text{Depth (cm)} \div 100\right)$

Dividing by 100 turns the depth from centimeters into meters.

Converting volume to weight

The calculator assumes dry sand with a bulk density of 1,600 kilograms per cubic meter (roughly 100 pounds per cubic foot). A yard is exactly 0.9144 m and a short ton is 2,000 pounds, so the same density is about 1.348 short tons per cubic yard (about 2,700 pounds per cubic yard). Multiplying volume by this density gives an estimated weight:

$\text{Weight (tons)} = \text{Volume (yd}^3\text{)} \times 1.348$

$\text{Weight (tonnes)} = \text{Volume (m}^3\text{)} \times 1.6$

Both formulas describe the same sand, so a given slab returns the same weight whichever unit system is used. Damp sand weighs more than dry sand, so a delivered load can be heavier than the estimate.

Worked Examples

Example 1 (imperial): a 12 ft × 10 ft patio, 1.5 in sand bed

Volume in cubic feet: 12 × 10 × (1.5 ÷ 12) = 15 ft³

Volume in cubic yards: 15 ÷ 27 ≈ 0.56 yd³

Weight: 0.556 × 1.348 ≈ 0.75 tons, or roughly 1,500 pounds.

Example 2 (metric): a 4 m × 3 m patio, 2.5 cm sand bed

Volume: 4 × 3 × (2.5 ÷ 100) = 0.30 m³

Weight: 0.30 × 1.6 = 0.48 tonnes.

Example 3 (imperial): a 24 ft × 12 ft driveway, 1.5 in sand bed

Volume in cubic feet: 24 × 12 × (1.5 ÷ 12) = 36 ft³

Volume in cubic yards: 36 ÷ 27 ≈ 1.33 yd³

Weight: 1.333 × 1.348 ≈ 1.80 tons, or roughly 3,600 pounds.

How to Use the Calculator

1. Measure the length and width of the paved area in feet or meters.
2. Choose a sand bed depth. A nominal 1 inch (2.5 centimeters) is typical, and the Iowa specification caps it at 1½ inches (3.8 centimeters). The calculator starts at 1 inch, or 2.5 centimeters when metric units are selected.
3. Select imperial or metric units. Both dimensions should be entered in the same system.
4. The calculator returns the sand volume and its estimated weight.

The volume figure is what to order from a supplier, since sand is sold by volume. The weight figure matters for transport: a vehicle or delivery truck needs enough payload capacity to carry the load safely.

Contractors commonly order a little extra to cover spillage and an uneven base.

Types of Sand Used Under Pavers

Concrete sand, also called sharp sand or coarse sand, is the standard choice for the bedding layer. The Iowa specification grades it to ASTM C 33: all of it passes a ⅜-inch sieve and 95 to 100 percent passes a No. 4 sieve (4.75 mm). Its angular grains interlock when compacted, which keeps the layer stable and lets water drain through it.

Mason sand has finer, more rounded particles. It compacts too densely for a bedding layer, which can trap water. The same specification grades joint sand to the finer ASTM C 144 masonry sand standard.

Polymeric sand is a manufactured joint sand containing a binder that hardens when wet. It resists washout and is more resistant to weeds than plain sand, but it is meant only for joints, not for the bedding layer.

Frequently Asked Questions

How much sand do I need for pavers?

It depends on the paved area and the sand bed depth, usually about 1 inch (2.5 centimeters) and no more than 1½ inches. A 10 ft × 12 ft patio with a 1.5-inch bed needs about 0.56 cubic yards, roughly 30 bags of sand at 50 pounds each. Enter exact dimensions into the calculator for a precise figure.

What is the formula for calculating paver sand?

Multiply length by width by depth, keeping all three measurements in the same unit system, then convert to cubic yards or cubic meters. In imperial units: (length in feet × width in feet × depth in inches ÷ 12) ÷ 27. In metric units: length in meters × width in meters × depth in centimeters ÷ 100.

How much does a cubic yard of paver sand weigh?

About 2,700 pounds, or roughly 1.35 tons, based on a dry sand density of 1,600 kilograms per cubic meter. Actual weight varies with moisture content and sand type.

What type of sand is best for a paver base?

Concrete sand, also called sharp sand, is the standard material for the bedding layer beneath pavers. Its angular particles interlock under compaction while still allowing water to drain. Mason sand is too fine for this layer and is better suited to joint filling.

How deep should the sand layer be under pavers?

A nominal 1 inch (2.5 centimeters), with a maximum of 1½ inches (3.8 centimeters) in the Iowa specification. Driveways rely on a deeper compacted gravel base, not on a thicker sand layer.

Can playground sand be used under pavers?

No. Playground sand has fine, rounded particles designed to be soft, not structural. It does not interlock under compaction, so pavers laid on it tend to shift and settle unevenly, and it drains poorly compared with concrete sand.

How many 50-pound bags of sand equal one cubic yard?

About 54 bags. One cubic yard of sand weighs roughly 2,700 pounds, so dividing by 50 pounds per bag gives approximately 54 bags.

References

1. Iowa Department of Transportation. Special Provisions for PCC Pavers, SP-150844. Iowa DOT SP-150844 — bedding sand screeded to a nominal 1 inch and not over 1½ inches; setting bed sand graded to ASTM C 33; joint filler sand graded to ASTM C 144.
2. National Institute of Standards and Technology. NIST Guide to the SI, Appendix B.9. NIST SP 811, Appendix B.9 — 1 yard = 0.9144 m and 1 short ton (2,000 lb) = 907.1847 kg.