Cube Calculator

The volume of a cube is the amount of space it occupies. Because all three dimensions are equal, the formula is simply V = s³, where s is the side length.

This calculator is unit-agnostic. If you enter the side in meters, the result is in cubic meters (m³). Use whatever unit matches your measurements.

A cube has all three dimensions equal (length = width = height). A cuboid (rectangular prism) can have any three different dimensions. The cube formula V = s³ is a special case of the cuboid formula V = l × w × h. Use the cuboid volume calculator when the dimensions differ.

A cube has 6 identical square faces, so the surface area is SA = 6 × s². For example, a cube with a 5 cm side has a surface area of 6 × 25 = 150 cm². This calculator reports it alongside the volume and both diagonals.

Take the cube root of the volume: s = V^(1/3). For example, if the volume is 27 cm³, the side length is the cube root of 27 = 3 cm.

A cube with side s has volume s³ and surface area 6s². Doubling the side doubles each face dimension but increases volume eightfold. This is why large animals retain heat better than small ones — more volume relative to surface area — and why cells need to stay small to exchange nutrients efficiently.

The space diagonal runs from one corner to the opposite corner through the interior: d = s√3. For a cube with side 5 cm, the diagonal is 5√3 ≈ 8.66 cm. It follows from applying the Pythagorean theorem twice: first across a face (the face diagonal s√2), then through the interior. This calculator reports both diagonals.

One inch equals 2.54 cm, so 1 cubic inch = 2.54³ ≈ 16.387 cm³. Multiply your cubic inch result by 16.387 to get cm³. The volume converter handles this and other cubic unit conversions.