Sand Calculator
Planning a paver patio base, setting up an above-ground pool, or building a backyard sandbox? Our free Sand Calculator determines the exact volume of sand required in cubic yards, cubic feet, or cubic meters, along with estimated weight in tons or tonnes and retail 50-lb or 25-kg store bags. Factoring in sand density and compaction settling, you can estimate costs and order with confidence.
Project Inputs
Enter your measurements to calculate exact materials
Enter measurements above to view calculation results.
Step-by-Step Calculation Example
Scenario: Laying a 2-inch sand bedding layer for a 16 ft by 12 ft patio base (192 sq ft) using coarse concrete sand with a 10% compaction buffer.
Calculate Surface Area: 16 ft × 12 ft = 192 sq ft.
Convert Depth to Feet: 2 inches ÷ 12 = 0.1667 ft.
Compute Net Volume: 192 sq ft × 0.1667 ft = 32 cubic feet.
Add 10% Compaction & Settling Buffer: 32 cu ft × 1.10 = 35.2 cubic feet.
Convert to Cubic Yards: 35.2 cu ft ÷ 27 = 1.30 cubic yards.
Calculate Estimated Weight: 1.30 cu yd × 1.35 tons/cu yd = 1.76 Tons (3,520 lbs).
Determine 50 lb Bag Equivalent: 3,520 lbs ÷ 50 lbs per bag = 71 bags.
Sand Volume & Weight Formula
Volume = Surface Area × Depth × (1 + Compaction Buffer %) Surface area is calculated according to the selected geometry (Length × Width for rectangular bases, π × Radius² for round pools/sandboxes, or 0.5 × Base × Height for triangular areas). Multiplying surface area by sand layer depth yields the geometric uncompacted volume. A compaction and settling reserve (default 10%) is added to account for tamping and moisture settling.
Formula Variables
Calculation Assumptions
- Coarse concrete bedding sand (ASTM C33) weighs approximately 100 lb per cubic foot (1.35 tons per cubic yard / 1.60 tonnes per cubic meter).
- Fine mason sand weighs approximately 95 lb per cubic foot (1.28 tons per cubic yard / 1.52 tonnes per cubic meter).
- Play sand weighs approximately 90 lb per cubic foot (1.21 tons per cubic yard / 1.44 tonnes per cubic meter).
- One cubic yard equals 27 cubic feet.
- One cubic yard of sand weighs between 1.15 and 1.48 tons depending on moisture content and grain grading.
- Standard retail bags contain 50 lbs (approx 0.5 cubic feet) or 25 kg.
Frequently Asked Questions
Common homeowner and DIY questionsSand Calculator
How much sand do I need for my project?
To calculate the sand needed, multiply the area length (ft) by width (ft) by depth (in feet), then divide by 27 to find cubic yards. For example, a 10x10 ft patio area (100 sq ft) with a 1-inch sand depth requires 8.33 cubic feet (0.31 cubic yards). Adding a 10% settling reserve gives approximately 0.34 cubic yards.
How much does one cubic yard of sand weigh?
One cubic yard of dry sand weighs approximately 2,600 to 2,700 lbs (1.3 to 1.35 tons). Wet or dense compacted sand can weigh up to 3,000 lbs (1.5 tons) per cubic yard.
How deep should sand be for paver bedding?
According to ICPI industry standards, paver bedding sand should be a uniform 1 inch (2.5 cm) thick. Do not use more than 1.5 inches of sand, as thick sand beds cause pavers to shift and create uneven ruts over time.
How much sand is needed under an above-ground pool?
Above-ground pool installations typically require a 2 to 3-inch layer of clean mason sand across the entire base to protect the vinyl liner from sharp rocks and punctures. A 2-inch sand cove should also be built around the inside bottom rim.
How many 50 lb bags of sand are in a cubic yard?
One cubic yard of sand weighs roughly 2,700 lbs. Dividing by 50 lbs per bag gives 54 bags of 50-lb sand per cubic yard. For 0.5-cubic-foot bags, you will need 54 bags to equal 27 cubic feet.
What is the difference between concrete sand and mason sand?
Concrete sand (ASTM C33) is coarse and jagged, making it ideal for interlocking paver bedding and pipe bedding. Mason sand (ASTM C144) is finely screened and smooth, making it ideal for pool liner bases, mortar mixing, and sandboxes.
Should I buy bagged sand or order bulk truckload delivery?
For small sandboxes or minor touch-ups under 1 to 1.5 cubic yards (under 40 to 60 bags of 50 lbs), retail bags are easy to transport in a personal vehicle. For projects requiring 2 or more cubic yards, bulk truckload delivery from a local landscape supplier or quarry is typically 40% to 60% less expensive.
Related Tools inLandscaping & Garden
Explore connected calculators for your home project
Concrete Calculator
Calculate concrete volume in cubic yards or cubic meters and estimate 40lb, 60lb, and 80lb pre-mix bag counts for slabs, footings, and columns.
Gravel Calculator
Calculate gravel and crushed stone requirements in cubic yards, metric tonnes, tons, and 50lb bags for driveways and paths.
Mulch Calculator
Calculate mulch volume in cubic yards or cubic meters and find bag counts for 2 cu ft, 3 cu ft, and 50L garden bags.
Soil Calculator
Calculate the exact amount of soil needed in cubic yards, cubic feet, cubic meters, weight, and store bags for garden and raised beds.
Topsoil Calculator
Calculate the amount of topsoil needed in cubic yards, cubic feet, cubic meters, weight, and store bags for lawns and garden grading.
Paver Calculator
Calculate the exact number of pavers, base gravel volume, bedding sand, and edge restraints needed for patios, walkways, and driveways.