Cuboid calculator

The cuboid calculator finds 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 elements of a cuboid and select a variable to find.
help ↓↓ examples ↓↓

Solve for

Input any three elements of a cuboid.

length

l =

width

w =

height

h =

body diagonal

d =

volume

V =

surface area

A =

lateral surface

AL =

thumb_up 89 thumb_down

Get Widget Code

working...

Hire MATHPORTAL experts to do math homework for you.

Prices start at $3 per problem.

Cuboid formulas

Cuboid drawing displaying length, width, height and diagonals.

$$ V = l \cdot w \cdot h $$

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

ex 1:

Find the volume of a cuboid with dimensions of 10 cm length, 4 cm width, and 7 cm height.

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.

ex 3:

Find surface area of a cuboid if length is 3 cm, width is 4 cm and body diagonal is 15 cm.

Related calculators

Right triangle calculator

Equilateral triangle calculator

Find more worked-out examples in our database of solved problems..

Search our database with more than 300 calculators

362 861 664 solved problems