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Cuboid calculator

Input any three variables of a rectangular prism. The calculator gives a step-by-step solution on how to find the missing variable.

Cuboid (Rectangular Prism) Calculator
input any three variables of a cuboid and select a variable to find
show help ↓↓ examples ↓↓
I want to find
Input three variables
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)
length
$ l $ =
 
width
$ w $ =
height
$ h $ =
 
body diagonal
$ d $ =
volume
$ V $ =
 
 
 
 
surface area
$ A $ =
 
lateral surface area
$ AL $ =

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Cuboid formulas
$$ V = l \cdot w \cdot h $$
volume
$$ P = 2 l w + 2 l h + 2 w h $$
surface area
$$ d^2 = l^2 + w^2 + h^2 $$
diagonal
$$ A_L = 2 l h + 2 w h $$
lateral area
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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