Sand Calculator

Construction Aggregates & Sand Volume Estimation

Sand is a granular material composed of finely divided rock and mineral particles. In construction and landscaping, it serves as the bedding layer for interlocking pavers, a fine aggregate in concrete/mortar mixes, and safe fill for children's sandboxes.

Primary Aggregate Equations

• Surface Area: Area = Length (ft) × Width (ft)

• Cubic Feet Volume: Cu Ft = Area (sq ft) × (Depth (in)12) ×

• Cubic Yards: Yards^3 = Cu Ft27

• Tonnage: Tons = Yards^3 × Bulk Density

• Retail 50 lb Bags: Bags = Tons × 200050

Standard Sand Bulk Densities

• Washed Concrete Sand (ASTM C33): 2,700 lbs/yd^3

• Play Sand (Clean Round Silica): 2,600 lbs/yd^3

• Fine Mason Sand (Mortar): 2,500 lbs/yd^3

• Damp / Compacted Sand: 3,000 lbs/yd^3

How to Use This Calculator

Enter your Project Area Shape — choose from Rectangular / Square (Length × Width), Circular / Round Sandbox (Diameter), Custom Known Area (Total Sq Ft), Length / Diameter / Known Sq Ft (e.g. 20 in ft), Width (Feet - for Rectangle) (e.g. 10 in ft), Sand Depth / Layer Thickness (Inches) (e.g. 2 in in), Sand Type & Material Grade — choose from Washed Concrete Sand (2,700 lbs/yd³ / 1.35 tons/yd³), Clean Play Sand (2,600 lbs/yd³ / 1.30 tons/yd³), Fine Mason Sand (2,500 lbs/yd³ / 1.25 tons/yd³), Waste & Compaction Factor (%) (e.g. 10 in %), and Delivered Price Per Ton () (e.g. 45 in /ton). Measure twice before entering dimensions — small measurement errors scale up significantly in material estimates.

The Formula

Conversion factors (to SI base unit or reference unit):

concrete_washed: 1.35

play_sand: 1.30

mason_fine: 1.25

wet_compacted: 1.50

Worked Example

Laying a 2-inch sand bedding base for a 20 ft by 10 ft paver patio requires 200 sq ft of coverage. Adding 10% for screeding waste and compaction requires 1.36 cubic yards (1.83 tons of washed concrete sand, or 74 retail 50 lb bags).

Understanding Your Result

Construction estimates are starting points — site conditions, material specifications, and local code requirements will affect final quantities and costs. Always obtain at least three contractor bids for major projects. Local building departments can confirm permit requirements and inspection milestones. Add waste factors appropriate to the material type and complexity: 10% for simple rectangular shapes, 15–20% for complex geometries or custom cuts.