a = | |

Units: | |

S = | 0 |

V = | 0 |

f = | 0 |

d = | 0 |

a = side lengths, f = face diagonal, d = solid diagonal, S = surface area, V = volume

» Show Work

A cube is a 3D figure that has six square faces, with three meeting at each vertex. For more information on calculating properties of a cube, please read the in-depth explanation section below.

To calculate the side lengths, solid diagonal, face diagonal, surface area, and volume of a cube, you need only one of these values. If you have one of these five measurements, use the subsection below depending on which measurement you have.

Cube Surface Area = 6a^{2}

For example, when a = 3

- To calculate S, use the following formula: 6a
^{2}. When you substitute a for its value, you get 6(3^{2}). First square a because exponents have a higher precedence than multiplication. 3^{2}= 9. The formula now looks like this: 6(9), which equals 54 m^{2}. - To calculate V, use the following formula: a
^{3}. When you substitute a for its value, you get 3^{3}, which equals 27 m^{3}. - To calculate f, use the following formula: a√2. When you substitute a for its value, you get 3√2, which equals 4.24264 m.
- To calculate d, use the following formula: a√3. When you substitute a for its value, you get 3√3, which equals 5.19615 m.

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