Cube volume calculator

Give one edge of the cube. All twelve edges are equal, so one number is enough. At a = 3 you get 27.00, at a = 10 already 1000.00, the interior of the block, not the area of one face.

V = a³. A face is on the rectangle area calculator. A sphere is on the sphere volume calculator.

Inputs

Edge

Result

Edge a (cm). Volume shows up here.

How it works

Cube volume is edge times edge times edge. V = a³ stacks three equal dimensions. You type one number because every edge matches. If a is in centimeters, the result is in cubic centimeters. Switching to inches relabels the result as in³ and leaves a typed 3 unconverted.

The small block on the page has edge 3 and volume 27.00. A 3 by 3 face has area 9.00; the third 3 turns that into 27 inside the cube. Edge 10 gives 1000.00, an easy order of magnitude to check. Five cubed is 125, four cubed 64, six cubed 216, eight cubed 512. The unit cube a = 1 stays 1.00 because 1³ = 1.

The form has one field. Type the edge in cm or inches and click Calculate. You do not type volume to recover the edge; that inverse is a cube root, and this page only goes from edge to volume. A comma and a period are the same.

The area of one face lives on the rectangle page: 3 by 3 is 9, here a = 3 is 27. A sphere of r = 10 is 4188.79, a different solid with π. A 3 by 4 by 5 box is not a cube: compute base 3 by 4, then prism volume times 5.

The space diagonal a√3 is not an input. Type the edge, not a face diagonal and not the box diagonal. If a worksheet only gives a diagonal, recover a first, then come back here.

At a = 6 the volume is 216, and the base face of that cube is 36, not 216. People mix up the face with the interior, especially on round numbers. Here you always have three dimensions and no π.

How to use

  1. Type edge a in cm or inches, one side of the cube. There is no second or third field, because every edge is equal.
  2. Click Calculate. At a = 3 you get 27.00, at a = 10 you get 1000.00, with a cm³ or in³ label.
  3. Compare with a face: 3 by 3 on the rectangle page is 9. Here the third 3 makes 27 inside.
  4. Do not type volume to recover the edge. That inverse is a cube root.
  5. Open a 3 by 4 by 5 box as a prism. Here every edge has to match.

Formula

V = a³

One edge, three dimensions. Face area a² is on the rectangle page.

V = a³ at a = 3

One edge is enough. At a = 3 you get 27.00. At a = 10 already 1000.00, the interior, not one face.

V
Volume a³. 3³ = 27.00. 2³ = 8.00. 10³ = 1000.00. 5³ = 125.00, no π.
a
Cube edge. 3 gives 27. Face area a² is on the rectangle page, not here.

Examples

Example 1

  • Edge: 3

27.00

A cube of edge 3, like a small block. Volume 27.

Example 2

  • Edge: 2

8.00

Edge 2, eight cubic units.

Example 3

  • Edge: 10

1000.00

Edge 10, one thousand. An easy order of magnitude to check.

Example 4

  • Edge: 5

125.00

Edge 5, 125. Five cubed, no π.

Example 5

  • Edge: 1

1.00

Unit cube. 1³ stays 1.

Example 6

  • Edge: 4

64.00

Edge 4, 64, four cubed.

Example 7

  • Edge: 6

216.00

Edge 6, 216. The base face of that cube is 36, not 216.

Example 8

  • Edge: 8

512.00

Edge 8, 512.

Frequently asked questions

What does edge 10 give?

1000.00. Three dimensions: 10 times 10 is the face 100, the third 10 makes 1000. Face area is on the rectangle page.

Is this a cube root calculator?

The edge goes in and a³ comes out. The cube root of 27 would be 3, the inverse that is not on this page.

Does a sphere of r = 10 have the same volume?

A sphere at r = 10 is 4188.79. A cube 10³ = 1000. Different formula, no π.

Can I type a space diagonal instead of the edge?

The only input is a. The space diagonal is a√3 and is not on this page. Recover the edge first.

Do I type 2 by 2 by 2 three times?

One field. The three twos live in a³ and give 8.00. Extra fields would be a rectangular box.

Where is the area of one face?

On the rectangle area page. At a = 3 the face is 9 and the volume is 27. At a = 6 the face is 36 and the volume is 216.

Does a cylinder use this formula?

A cylinder needs radius, height, and π. This page uses one cube edge and a³.

Is a = 1 giving 1.00 correct?

Yes. 1³ = 1. Unit cube. The formula does not require an edge larger than 1.

How do I volume a 3 by 4 by 5 box?

Compute base 3 by 4, then prism volume times 5. Here every edge must be equal.

What about edges 5, 4, or 8?

5³ = 125, 4³ = 64, 8³ = 512. No π, three matching dimensions.

Knowledge sources

The calculator computes the same formula as the definition below.

Page updated in 2026.