Builder's Math

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Concrete calculator

Find how much concrete you need for a slab, footing or post hole, in cubic yards and in 40, 60 or 80 lb bags.

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Add prices (optional)
$ per yd³
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Result

How to use it

Pick the shape, type the size in any unit, and set how many you are pouring, for example 8 post holes. Measuring in feet and inches? Type the inches in the small box next to feet.

The formula

Volume (cu ft) = length × width × thickness   (all in feet)
Round holes:     3.1416 × (diameter ÷ 2)² × depth
Cubic yards    = cubic feet ÷ 27

Example: a 10 × 10 ft patio, 4 inches thick, is 10 × 10 × 0.333 = 33.3 cubic feet, or 1.23 cubic yards. With 10% extra that is about 1.36 cubic yards, or 62 bags of 80 lb.

Quick answers for common sizes

Bags include 10% extra.
Slab, 4 in thickCubic yards80 lb bags60 lb bags40 lb bags
4 × 4 ft0.2101420
8 × 8 ft0.79405379
10 × 10 ft1.236282123
12 × 12 ft1.7888118176
10 × 20 ft2.47123163245
16 × 16 ft3.16157209313
20 × 20 ft4.94245326489
24 × 24 ft7.11352470704
One hole, with 10% extra.
Post holeConcrete80 lb bags50 lb bags
6 in wide, 2 ft deep0.39 cu ft12
8 in wide, 2 ft deep0.7 cu ft23
8 in wide, 3 ft deep1.05 cu ft24
10 in wide, 3 ft deep1.64 cu ft35
12 in wide, 3 ft deep2.36 cu ft57
12 in wide, 4 ft deep3.14 cu ft610

How many bags make a cubic yard

Bag sizeConcrete per bagBags per cubic yard
40 lb0.30 cu ft90
50 lb0.375 cu ft72
60 lb0.45 cu ft60
80 lb0.60 cu ft45

Tips before you pour

  • 4 inches is the usual thickness for patios, sidewalks and shed floors; driveways are usually 5 to 6 inches.
  • Add 5 to 10 percent for spills, bulging forms and uneven ground. The calculator adds 10% unless you change it.
  • Bags suit small jobs like post holes and pads. Past about a cubic yard (45 bags of 80 lb), ready-mix delivery is usually easier; suppliers sell it in quarter-yard steps.

Sources and assumptions

Bag yields are the figures printed on standard premixed concrete bags: 0.30, 0.375, 0.45 and 0.60 cubic feet for 40, 50, 60 and 80 lb. Weight uses 150 lb per cubic foot, the usual figure for normal-weight concrete. Ready-mix is rounded up to the next quarter yard.

Questions

How many bags of concrete are in a cubic yard?

About 45 bags of 80 lb, 60 bags of 60 lb or 90 bags of 40 lb. A cubic yard is 27 cubic feet, and an 80 lb bag makes about 0.6 cubic feet.

How many bags of concrete do I need for a 10 × 10 slab?

At 4 inches thick, 62 bags of 80 lb or 82 bags of 60 lb, including 10 percent extra. That is 1.23 cubic yards.

How many bags of concrete per fence post?

For a 10-inch hole 3 feet deep, about 3 bags of 80 lb. A 12-inch hole 3 feet deep takes about 5.

How much does a cubic yard of concrete weigh?

About 4,000 lb, or 2 tons. Normal concrete weighs roughly 150 lb per cubic foot, and a cubic yard holds 27 cubic feet.

How thick should a concrete slab be?

4 inches for patios, walkways and shed floors. Driveways usually need 5 to 6 inches, more if heavy trucks use them.

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