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Cube calculator

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This calculator finds the unknown dimension 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.

Cube Calculator
input one value of a cube and select the missing one
help ↓↓ examples ↓↓
I want to find
Input value in on of text boxes
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)
side
$ a $ =
 
face diagonal
$ f $ =
body diagonal
$ d $ =
 
volume
$ V $ =
surface area
$ A $ =
 
face area
$ FA $ =

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Cube formulas
$$ V = a^3 $$
volume
$$ A = 6a^2 $$
surface area
$$ A_F = a^2 $$
face area
$$ d = a \sqrt{3} $$
diagonal
$$ f = \frac{a}{2} $$
face diagonal
examples
example 1:ex 1:
Find the surface area of a cube with side 8cm.
example 2:ex 2:
If the surface area of a cube is 144 cm2, find its volume.
example 3:ex 3:
If the body diagonal is 4cm, calculate the surface area of a cube.
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