Sand Calculator

Calculating sand quantities for brick paver bedding screed layers, sandbox fills, masonry mortar blends, and swimming pool liner bases requires factor

Construction

Coverage Surface Area

sq ft

Surface area of sand bed in square feet

Sand Layer Depth

Sand layer thickness in inches (paver bedding is typically 1 in; sandboxes 4-6 in)

Sand Application / Type

Sand Bulk Density Basis

lb/cu yd

Loose bulk density in lb/cu yd (ASTM C33: 2,600-2,800 lb/cu yd depending on moisture)

Waste & Settling Allowance

Screeding loss, screed pipe impressions, and compaction allowance (10% standard)

Price per Ton (Optional)

Enter retail or quarry price per US ton

Formula & Methodology

Converted Depth (ft) = Layer Depth (in) ÷ 12 Volume (cu yd) = [Area (sq ft) × Converted Depth (ft)] ÷ 27 Gross Volume = Volume (cu yd) × (1 + Waste % ÷ 100) Total Weight (lb) = Gross Volume (cu yd) × Density (lb/cu yd) Sand to Order (US tons) = Total Weight (lb) ÷ 2,000 50-lb Bags = ⌈Total Weight (lb) ÷ 50⌉

Layer thickness in inches is divided by 12 to yield decimal feet prior to planar area multiplication. Standard coarse concrete sand (ASTM C33) used under pavers weighs approximately 2,700 lb/cu yd (~1.35 tons/cu yd). Sand is especially prone to moisture bulking: when damp (4% to 8% moisture), thin water films between particles increase loose volume by 15% to 25%, while wet sand carries substantial water weight.

Total Sand to Order

1.1 US tons

Overview

Calculating sand quantities for brick paver bedding screed layers, sandbox fills, masonry mortar blends, and swimming pool liner bases requires factoring in surface dimensions, layer depth, and sand moisture characteristics. This Sand Calculator translates area and depth into cubic yards, US short tons, and retail 50-pound bag counts.

Estimates are for material planning and budgeting purposes only. This calculator does not provide geotechnical engineering, structural design, or official building code compliance advice. Always verify measurements, aggregate densities, and compaction requirements with a local quarry supplier or licensed contractor before ordering materials or commencing construction.

Worked Examples

Example 1: 120 sq ft Patio Paver Bedding Layer (1 in Deep with 10% Waste)

Inputs: Area = 120 sq ft, Depth = 1 in, Sand Type = Paver Sand (2,700 lb/yd³), Waste = 10%, Price = $40.00/ton

Convert depth: 1 in ÷ 12 = 0.0833 ft.
Net volume: 120 sq ft × 0.0833 ft = 10.00 cu ft ÷ 27 = 0.3704 cu yd.
Gross volume (10% waste): 0.3704 × 1.10 = 0.4074 cu yd.
Total weight: 0.4074 cu yd × 2,700 lb/cu yd = 1,100.00 lb.
Convert to US tons: 1,100.00 ÷ 2,000 = 0.55 US tons.
Calculate 50-lb bags: 1,100 lb ÷ 50 = 22 bags.
Calculate cost: 0.55 tons × $40.00 = $22.00.

Final Answer: 0.55 US tons to order (22 bags of 50 lb; $22.00 material cost)

Example 2: Children’s Sandbox (8 ft × 8 ft [64 sq ft] at 6 in Deep with 10% Waste)

Inputs: Area = 64 sq ft, Depth = 6 in (0.5 ft), Sand Type = Play Sand (2,500 lb/yd³), Waste = 10%

Convert depth: 6 in ÷ 12 = 0.50 ft.
Net volume: 64 × 0.50 = 32.00 cu ft ÷ 27 = 1.1852 cu yd.
Gross volume: 1.1852 × 1.10 = 1.3037 cu yd.
Weight: 1.3037 × 2,500 = 3,259.26 lb ÷ 2,000 = 1.63 US tons.
Retail 50-lb bags: 3,259.26 ÷ 50 = 66 bags of play sand.

Final Answer: 1.63 US tons to order (66 bags of 50 lb play sand)

Example 3: Above-Ground Pool Base (200 sq ft at 2 in Deep with Mason Sand)

Inputs: Area = 200 sq ft, Depth = 2 in, Sand Type = Mason Sand (2,600 lb/yd³), Waste = 10%

Convert depth: 2 in ÷ 12 = 0.1667 ft.
Volume: 200 × 0.1667 = 33.33 cu ft ÷ 27 = 1.2346 cu yd.
Gross volume: 1.2346 × 1.10 = 1.3580 cu yd.
Weight: 1.3580 × 2,600 ÷ 2,000 = 1.77 US tons (71 bags of 50 lb).

Final Answer: 1.77 US tons to order (1.36 cu yd; 71 bags of 50 lb)

How to Use This Calculator

Enter your coverage area in square feet (length × width in feet).

Enter sand layer depth in inches (paver bedding must be exactly 1 inch uncompacted; sandboxes typically 4 to 6 inches).

Select your sand grade (coarse concrete sand for paver bedding; fine washed mason sand for mortar; play sand for boxes).

Review the density basis and moisture caveat.

Check both the required bulk tonnage for dump truck delivery and equivalent 50-lb retail bag counts.

Reference Table

Sand Application	Recommended Depth	Density (lb/yd³)	Tons per 100 sq ft	50 lb Bags per 100 sq ft
Paver Bedding Screed	1.0 in (0.083 ft)	2,700 lb/yd³	0.46 tons	19 bags
Above-Ground Pool Base	2.0 in (0.167 ft)	2,600 lb/yd³	0.88 tons	36 bags
Underground Pipe Bedding	4.0 in (0.333 ft)	2,700 lb/yd³	1.83 tons	74 bags
Children’s Sandbox	6.0 in (0.500 ft)	2,500 lb/yd³	2.54 tons	102 bags
Equestrian Arena Footing	3.0 in (0.250 ft)	2,600 lb/yd³	1.32 tons	53 bags

Frequently Asked Questions

What kind of sand should be used underneath interlocking concrete pavers?

Always use coarse, washed concrete sand meeting ASTM C33 specifications for paver bedding. Never use fine masonry sand or stone dust, as fine sand retains water, washes away, and becomes spongy when saturated.

How thick should the sand bedding layer be under pavers?

The bedding sand layer must be a uniform 1 inch thick (uncompacted) across the compacted gravel base. Laying sand thicker than 1.5 inches can cause uneven paver settling and rutting under foot traffic.

What is sand bulking and why does moisture change sand volume?

When sand contains 4% to 8% moisture, thin films of surface water coat each grain, creating surface tension forces that push the grains apart. This phenomenon, known as bulking, increases loose sand volume by 15% to 25% without adding rock mass.

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

One cubic yard of typical dry sand weighs approximately 2,700 pounds. Dividing 2,700 by 50 pounds yields 54 bags per cubic yard. With a 10% waste buffer, purchase approximately 60 bags of 50-lb sand.

Is play sand safe for sandboxes and sensory tables?

Yes. Commercial play sand is triple-washed, screened, and tumbled to remove dust and smooth sharp edges. It contains zero toxic chemical binders, unlike industrial blasting sand which contains respirable crystalline silica.