Rectangular Prism Diagonal Calculator

Enter the length, width, and height of a rectangular prism to calculate its space diagonal.

Rectangular Prism Diagonal Calculator

Calculate the space diagonal (corner-to-corner distance) of a rectangular box.

This is a straightforward geometric calculation; ensure all three measurements use the same unit.

The space diagonal of a rectangular box (also called a rectangular prism or cuboid) is found using a 3D extension of the Pythagorean theorem, combining the length, width, and height.

Example

  • With the default values shown above, this calculator returns: Space Diagonal ≈ 12.3288.

Frequently Asked Questions

What is a space diagonal?

The space diagonal is the longest straight line that can be drawn inside a rectangular box, connecting one corner to the diagonally opposite corner through the interior.

How is this different from a face diagonal?

A face diagonal only crosses one flat face of the box (using two of the three dimensions); the space diagonal cuts through the interior of the box using all three dimensions.

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