Cube Volume Calculator

Cube volume calculator computes V = s^3 from the side length. A cube with side 3 has volume 27 cubic units and surface area 54 square units. Also shows the space diagonal and surface area.

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Formula

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Core Formula
V=s3V = s^3

How it works: Cube volume is the side length cubed. All 12 edges of a cube are equal.

Worked Example

Find the volume of a cube with side length 3 cm.
1Step 1: V = s^3 = 3^3 = 3 x 3 x 3 = 27 cubic cm.
2Step 2: Surface area = 6 x s^2 = 6 x 9 = 54 square cm (6 identical square faces).
3Step 3: Space diagonal = s x sqrt(3) = 3 x 1.7321 = 5.196 cm.
4Step 4: To convert to liters (for a container): 27 cm^3 = 0.027 liters. A cube with side 10 cm = 1,000 cm^3 = 1 liter.

Cube Volume Formula and Properties

A cube is a three-dimensional solid with six identical square faces. Its volume is simply the side length raised to the third power.

  • Volume = s^3. A cube with side 3 has volume 27 cubic units
  • Surface area = 6 x s^2 (six identical square faces). Same cube: SA = 6 x 9 = 54 sq units
  • Space diagonal (corner to opposite corner) = s x sqrt(3). Same cube: 3 x 1.732 = 5.196
  • To find side from volume: s = cube root of V. If V = 125, then s = 5 because 5^3 = 125

Cubes are special cases of rectangular prisms where all three dimensions are equal. Use the rectangular prism calculator if your box has different length, width, and height.

You can also calculate changes using our Rectangle Volume Calculator, LxWxH Calculator or Shipping Box Volume Calculator.

Frequently Asked Questions

What is the volume of a cube with side 5?

V = 5^3 = 5 x 5 x 5 = 125 cubic units. The surface area is 6 x 25 = 150 square units, and the space diagonal is 5 x sqrt(3) = 8.66 units.

How do I find the side length if I know the volume?

Take the cube root of the volume: s = V^(1/3). For a volume of 64 cubic cm: s = 64^(1/3) = 4 cm. For a volume of 1,000 cm^3: s = 10 cm (this is exactly 1 liter).

What is the surface area of a cube?

Surface area = 6 x s^2, because a cube has 6 identical square faces each with area s^2. A cube with side 4 has surface area = 6 x 16 = 96 square units. Surface area is useful for calculating paint, wrapping paper, or material needed to cover the cube.

How do I convert cubic centimeters to liters?

1 liter = 1,000 cm^3 (or 1,000 mL). A cube with side 10 cm has volume 1,000 cm^3 = 1 liter. A cube with side 1 m has volume 1,000,000 cm^3 = 1,000 liters. For cubic inches: 1 gallon = 231 cubic inches.

Does this calculator assume all sides are equal?

Yes. A cube by definition has all 12 edges equal in length. If your box has different length, width, and height, use the rectangular prism volume calculator instead (V = L x W x H).

Is it possible to embed the Cube Volume Calculator on another website?

Yes, embedding the Cube Volume Calculator is free. Hit the "Embed" button on this page, adjust the width, height, and theme, then grab the iframe code. It works on WordPress, Wix, Squarespace, Shopify, and plain HTML pages. No registration needed. Full instructions at calculory.com/services/embed-calculators.

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