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Cuboid calculator

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This calculator finds the missing value of a cuboid given exactly three known dimensions. The calculator can find the length, width, height, diagonals, volume and surface area of a cuboid. Additionally, the calculator will generate a step-by-step solution on how the problem was solved.

Cuboid Calculator
input any three variables of a cuboid and select a variable to find
help ↓↓ examples ↓↓
Solve for
cuboid
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
AL =
 
working...
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 volume of a cuboid with dimensions of 10 cm length, 4 cm width, and 7 cm height.
example 2:ex 2:
The volume of a cuboid is 5000 cm3. Find the height of a cuboid if the length is 50 cm, and the width is 20 cm.
example 3:ex 3:
Find surface area of a cuboid if length is 3 cm, width is 4 cm and body diagonal is 15 cm.
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