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Cubic feet calculator

A box 24 by 18 by 16 inches holds 6,912 cubic inches, which the cubic feet calculator gives as exactly 4 cubic feet.

Radius for a cylinder, sphere, hemisphere, cone or capsule. Side of a cube. Length of a box or pyramid base. Triangle base of a triangular prism. Bottom radius of a frustum. First semi-axis of an ellipsoid. Outside diameter of a pipe.

Width of a box or pyramid base. Triangle height of a triangular prism. Top radius of a frustum. Second semi-axis of an ellipsoid. Inside diameter of a pipe. Not used by the other shapes.

Height of a box, cylinder, cone, pyramid or frustum. Length of a triangular prism or a pipe. Straight length between the two domes of a capsule. Third semi-axis of an ellipsoid. Not used by a cube, sphere or hemisphere.

Volume in cubic feet4 ft³

Volume in cubic feet 6,912 in³ ÷ 1,728 in³ per ft³ = 4 ft³. A cubic conversion cubes the length factor.
4 ft³
Volume Volume units are the measurement unit cubed: in centimeters the answer is in cubic centimeters.
6,912 in³
Formula Volume counts unit cubes. A box l by w by h holds l × w cubes in each layer and h layers. Every other formula in this calculator is this one, rearranged or taken to a limit.
V = l × w × h = 24 × 18 × 16 = 6,912
Measurements used
l = 24 in, w = 18 in, h = 16 in
Total surface area A = 2(lw + lh + wh) = 2(24×18 + 24×16 + 18×16).
2,208 in²
Lateral area (four walls) Perimeter of the base times the height: 2(l + w)h. The walls of a room, without floor or ceiling.
1,344 in²
In liters 1 liter is 1,000 cubic centimeters, the volume of a 10 cm cube.
113.2674 L
In US gallons A US gallon is defined as exactly 231 cubic inches, 3.785411784 liters. An imperial gallon is about 20% larger.
29.92208 gal
In other cubic units Cubic conversions cube the length factor: a yard is 3 feet, so a cubic yard is 27 cubic feet.
0.1132674 m³ = 4 ft³ = 0.1481481 yd³
Scale every length and see what happens
Every length timesVolumeSurface area
0.5864 in³ (×0.125)552 in² (×0.25)
16,912 in³ (×1)2,208 in² (×1)
255,296 in³ (×8)8,832 in² (×4)
3186,624 in³ (×27)19,872 in² (×9)
106,912,000 in³ (×1,000)220,800 in² (×100)
  • Volume scales with the cube of length and surface area with the square. Double every measurement and the volume goes up 8 times while the surface only goes up 4. That is why large animals keep heat better and why small ice cubes melt faster.

How the Volume Calculator works

Cubic feet = length × width × height, with all three in feet. Measured in inches, multiply the three and divide by 1,728, the number of cubic inches in a cubic foot (12 × 12 × 12).

For a box 24 × 18 × 16 inches: 24 × 18 × 16 = 6,912 cubic inches, and 6,912 ÷ 1,728 = 4 cubic feet. Converting to feet first gives the same: 2 × 1.5 × 1.333 = 4.

A room 12 feet by 10 feet with an 8-foot ceiling holds 12 × 10 × 8 = 960 cubic feet of air.

In centimeters, divide the cubic centimeters by 28,316.85, the number in a cubic foot: a box 60 × 40 × 40 cm is 96,000 cm³, about 3.39 cubic feet.

Dividing inches by 12 once at the end, instead of by 1,728, is the usual slip: 6,912 ÷ 12 = 576, which is 144 times too big. Each of the three lengths needs its own division by 12.

Shapes other than boxes have their own formulas. A cylinder is πr²h, so a drum 2 feet across and 3 feet tall holds π × 1² × 3 = 9.42 cubic feet.

Volume Calculator FAQ

How many cubic feet are in a cubic yard?

27, because a yard is 3 feet and 3 × 3 × 3 = 27.

How many cubic feet is a 5 by 10 storage unit?

With an 8-foot ceiling, 5 × 10 × 8 = 400 cubic feet.

How many gallons are in a cubic foot?

7.48 US gallons, since a cubic foot is 1,728 cubic inches and a US gallon is 231.

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