Geometry

Cube Volume Calculator

Enter a side length to get a cube's volume, surface area, and space diagonal.

Volume

64

Volume = s³. A side of 4 gives a volume of 64 cubic units.

Surface area

96

Space diagonal

6.9282

How it works

A cube is the simplest solid to measure because all its edges are equal. Every result comes from that one side length.

Volume is the side cubed, s³ — a cube with 4-unit edges holds 64 cubic units. Surface area is 6 × s², since the cube has six identical square faces, giving 96 here. The space diagonal, the longest straight line through the middle from corner to corner, is s × √3, or about 6.93.

Type a new side length and all three figures update instantly. Answers round to four decimals, which covers dice, boxes, storage cubes, and packing math with room to spare.

Frequently asked questions

What's the difference between a face diagonal and the space diagonal?

A face diagonal crosses one square face and equals s × √2. The space diagonal shown here runs through the interior of the cube from one corner to the opposite one, and it's longer at s × √3.

How is a cube different from a box?

A cube is a box where length, width, and height are all the same. If your box has different edge lengths, you'd want a rectangular-prism formula rather than this one.

Why is surface area six times the side squared?

A cube has six faces and every face is an identical square of area s². Add them up and you get 6 × s² for the total outer surface.