Mathematics

Diagonal of Cuboid

Find the space diagonal of a cuboid.

Diagonal = √(l² + b² + h²)

Formula Explanation

The longest distance between any two vertices of the cuboid.

Variables Explained

l, b, h = length, breadth, height.

Solved Example

l=3, b=4, h=12. Diagonal?
√(9+16+144) = √169 = 13.

Exam Tip

This is the 3-D version of Pythagoras theorem.