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Topsoil
Earthworks · Calculator

Topsoil calculator

Topsoil by area and finished depth. Cubic yards or cubic metres, a settling allowance so the order compacts back to grade, the count of 0.75 ft³ bags, and the bag-vs-bulk break-even most calculators leave you to work out at the register.

A
Detail A — Topsoil volume
Cubic yards—
Cubic feet—
Cubic metres—
Weight (est.)—
— bags — 0.75 ft³ each
Order volume—
Settling check—
Bulk order—
Bags per bulk yard—

01 How the math works

Topsoil volume is area times finished depth, with the depth converted to the same unit as the area. For a rectangular area that is length × width; for a round area it is π × radius². Multiply by the depth in feet and you have cubic feet; divide by 27 for cubic yards.

Rectangular: V = L × W × (depth ÷ 12)
Round: V = π × (D/2)² × (depth ÷ 12)
Cubic yards = V(ft³) ÷ 27

That volume is the finished grade — the soil after it has settled. Loose topsoil, fresh off the pile or out of the bag, holds more air than the same soil once it is spread, watered, and left, so you buy more loose material than the finished volume to end up level. The calculator applies two separate multipliers on top of the geometric volume: a settling allowance for that compaction, and an ordinary waste factor for spillage and uneven subgrade. Both are editable.

Bags are the order volume divided by the bag size, rounded up to the whole bag. The standard big-box topsoil bag is 0.75 ft³; some lines are 1.0 ft³ or 1.5 ft³, so the field is editable. Bulk topsoil is sold by the cubic yard, which is 27 ft³ — the same 36 of those 0.75 ft³ bags. That number is the entire bag-vs-bulk comparison, and 36 is a big enough multiplier that topsoil is the material where it almost never comes out close.

02 Worked example

Take a low 20 ft × 20 ft (6.10 m × 6.10 m) patch of lawn you want to build up 3 in (76 mm) to level it before reseeding.

Area is 400 ft² (37.16 m²). Finished volume: 400 × 0.25 ft = 100 ft³ = 3.70 yd³ (2.83 m³). Apply a 15% settling allowance and a 10% waste factor — that is 1.15 × 1.10 = 1.265, so the loose order is 126.5 ft³ = 4.69 yd³.

Bagged, at 0.75 ft³ per bag, that is 169 bags. Bulk rounds 4.69 yd³ up to the yard's half-yard step: 5.0 yd³. One cubic yard of topsoil is 36 of those bags, so 169 bags is the entire reason nobody fills a ground job out of sacks. At the NRCS figure for medium-textured soil, that finished 3.70 yd³ weighs about 8,300 lb (3,770 kg) — just over four US tons, and a cubic yard on its own is already more than most half-ton pickups are rated to carry.

03 When this calculator is wrong

The volume is exact arithmetic. What it does not know is how much your soil will settle, how heavy the load is, or the shape of your real area — and those are where the order and the delivery go off.

04 What to do with the result

Compute the finished volume, apply the settling allowance and the waste factor, and round up — to the whole bag for bagged, or to the yard's increment for bulk. Rounding up is the right call on every material order, because a second delivery for one short yard costs far more than the yard. For topsoil the split in that rule is sharp: unopened bags are returnable at most garden centers, but a bulk pile dumped on your driveway is not, so round bulk up by the smallest scoop the yard sells rather than a full extra yard.

To decide between bags and bulk, use the break-even the calculator prints: one cubic yard is 36 of the 0.75 ft³ bags. Multiply the bag price by 36 and compare it to the yard's bulk price per cubic yard, delivery included. Because that multiplier is so high — and because a cubic yard weighs north of a ton — topsoil crosses over to bulk at a far smaller job than mulch does. Bags earn their keep for a planter, a few low spots, or anywhere a truck cannot reach; past roughly half a yard, bulk almost always wins.

05 Common questions

How much topsoil do I need?
Multiply the area's length by its width for square footage, then by the finished depth in feet (3 in is 0.25 ft) for cubic feet, and divide by 27 for cubic yards. Then add a settling allowance so the loose soil compacts back to grade. A 20 × 20 ft patch built up 3 in is 100 ft³ finished, about 4.69 yd³ to order with a 15% settling allowance and 10% waste.
How many bags of topsoil are in a cubic yard?
A cubic yard is 27 ft³, so it holds 36 of the standard 0.75 ft³ bags, 27 of the 1.0 ft³ bags, or 18 of the 1.5 ft³ bags. Read the bag — volume varies by product line.
How much does a cubic yard of topsoil weigh?
At the USDA NRCS figure for medium-textured soil (1.33 g/cm³), about 2,240 lb (1,017 kg) — roughly 1.1 US tons. Dry screened soil is lighter; soil saturated after rain is heavier. A full cubic yard is over the rated payload of most half-ton pickups, so plan on delivery.
How much area does a yard of topsoil cover?
Coverage is volume divided by depth. One cubic yard covers 324 ft² at 1 in, 162 ft² at 2 in, 108 ft² at 3 in, and 81 ft² at 4 in (30.10 / 15.05 / 10.03 / 7.53 m²). Oregon State University Extension quotes the same 162 ft² at 2 in. That is the finished depth — add the settling allowance to what you order.
Should I buy topsoil in bags or in bulk?
Bulk is cheaper per cubic yard for anything past about half a yard, and the gap is wide because one cubic yard is 36 × the 0.75 ft³ bag. Bulk wins when its price per cubic yard, delivery included, is below 36 times the price of one bag. Bags are for planters, a few low spots, or spots a truck cannot reach.