Cube calculator

This calculator finds the unknown element of a cube given a single known dimension. The calculator can compute side, body and face diagonals, volume and area. Additionally, the calculator will generate a step-by-step solution on how to solve the problem.

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Cube formulas

Cube drawing with sides, body diagonal, face diagonal and surface.

$$ V = a^3 $$

volume

$$ A = 6a^2 $$

surface area

$$ A_F = a^2 $$

face area

$$ d = a \sqrt{3} $$

diagonal

$$ f = \frac{a}{2} $$

face diagonal

Examples

ex 1:

Find the surface area of a cube with side 8cm.

ex 2:

If the surface area of a cube is 144 cm², find its volume.

ex 3:

If the body diagonal is 4cm, calculate the surface area of a cube.

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