Introduction
Sand is the least glamorous material on any job site. It’s also the one that gets ordered wrong most often. A paver patio is only as flat as the sand bed underneath it. A sandbox is only as deep as the fill you actually dump in. Get the volume wrong and you’re either running short in the middle of a pour or staring at a pile in the driveway for six months.
This calculator handles the ordering math. Type in the bed dimensions, set your sand type, and the density loads automatically. Masonry sand runs near 100 lb/ft³. Polymeric sand sits heavier at 110. Play sand is lighter at 95 because the grains are rounder and don’t pack as tight.
The compaction factor field sets this tool apart from a plain volume calculator. Sand settles after placement. A 15% factor adds the extra material you’ll need to bring the finished surface up to grade. Default that, add a waste factor, and the output gives you a number you can take to a supplier.
How to Use the Sand Calculator
Choose your currency from the dropdown if you want the cost in something other than US dollars.
Enter the length and width of the area. Pick feet, inches, yards, meters, centimeters, or millimeters.
Enter the depth or thickness of the sand layer.
Select a sand type from the dropdown. Each preset loads a matching density.
Confirm the density. Switch to Custom if your supplier quotes a value outside the presets, and pick lb/ft³, kg/m³, lb/yd³, or ton/yd³ as the unit.
Set the compaction factor. Fifteen percent is a reasonable default for most placement.
Add a waste factor. Ten percent covers spillage and over-excavation.
Enter the price per unit volume. Switch between per cubic yard, per cubic foot, per cubic meter, or per ton.
Add delivery cost. Choose a flat total, a per-load rate (assumes 20 tons), or a per-ton rate.
Enter labor cost as a lump sum if you’re hiring out.
Hit Calculate. The Summary tab shows the headline numbers. The Detailed Breakdown tab lists every intermediate value including the compaction adjustment and unit conversions.
How the Sand Calculator Formula Works
Everything converts to feet and pounds internally before the tool runs the math.
Formula: Surface Area (ft²) = Length (ft) × Width (ft)
Formula: Loose Volume (ft³) = Length × Width × Depth (ft)
Formula: Compacted Volume (ft³) = Loose Volume ÷ (1 − Compaction % ÷ 100)
Formula: Volume with Waste (ft³) = Compacted Volume × (1 + Waste % ÷ 100)
Formula: Weight (lbs) = Volume with Waste × Density (lb/ft³)
Formula: Weight (tons) = Weight (lbs) ÷ 2000
Formula: Sand Cost = Volume with Waste × Price per ft³ (or Weight × Price per ton)
Formula: Total Cost = Sand Cost + Delivery + Labor
The compaction step is where most people stumble. Sand doesn’t stay at its loose volume after you place it. It settles. A 15% compaction factor means you need to order 18% more loose sand than the finished bed’s volume suggests. That’s why the formula divides by (1 − 0.15) instead of just adding 15%. The math mirrors what actually happens in the field.
The eight sand type presets come with densities that reflect real material differences. Polymeric sand is the densest of the group at 110 lb/ft³ because the polymer binder adds mass. Play sand sits at 95 because the rounded grains leave more air between them. Concrete and pit sand both come in at 105, the angular shape packs tighter than river or masonry sand.
Price units convert internally. Per cubic yard divides by 27 to get per cubic foot. Per cubic meter divides by 35.3147. Per ton converts to per-pound by dividing by 2000, then multiplies by the density to get cost per cubic foot. Enter whichever unit your supplier uses.
Worked Example
You’re laying a sand bed for a 22 ft × 14 ft paver patio. The bed runs 1 inch deep. You’re using paver base sand at 105 lb/ft³. Compaction factor is 15% and waste is 10%. Your supplier charges $34 per cubic yard, with a flat $75 delivery fee. No labor — you’re installing it yourself.
Step 1: Convert depth to feet.
1 inch ÷ 12 = 0.0833 ft.
Step 2: Surface area.
22 × 14 = 308 ft².
Step 3: Loose volume.
22 × 14 × 0.0833 = 25.67 ft³.
Step 4: Apply the compaction factor.
25.67 ÷ (1 − 0.15) = 25.67 ÷ 0.85 = 30.20 ft³.
Step 5: Add 10% waste.
30.20 × 1.10 = 33.22 ft³.
In cubic yards: 33.22 ÷ 27 = 1.23 yd³.
Step 6: Calculate weight.
33.22 × 105 = 3,488 lbs.
In tons: 3,488 ÷ 2000 = 1.74 tons.
In kilograms: 3,488 × 0.453592 = 1,582 kg.
Step 7: Sand cost.
1.23 × $34 = $41.82.
Step 8: Total cost with delivery.
$41.82 + $75.00 = $116.82.
The Summary tab reads 308 ft² of surface area, 25.67 ft³ loose volume, 30.20 ft³ compacted, 33.22 ft³ with waste (1.23 yd³), 1.74 tons of sand, and $116.82 total. The breakdown tab lists every conversion and cost line.
Switch the sand type to polymeric and density jumps from 105 to 110. Same volume, 3,654 lbs, or 1.83 tons. A few hundredths of a cubic yard more per bag, but a heavier material to move.
