Geometry

Cuboid Space Diagonal

Longest internal diagonal of a box.

Formula

Formula
d = l2 + w2 + h2

Variables

SymbolDefinitionType & rangeUnitsRole
l, w, h edge lengths real number (ℝ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenlength l = 3, width w = 4, height h = 12
Result13
Example 2
Givenlength l = 1, width w = 2, height h = 2
Result3