Rectangular Prism Diagonal Calculator

Use this rectangular prism diagonal calculator to compute the space diagonal of a prism by entering its length, width, and height. The rectangular prism diagonal formula ensures precise results.

Formula

d = √(L² + W² + H²)

L = length
W = width
H = height
Square each dimension, sum them, and take the square root to find the space diagonal.

Popular Examples

LWHDiagonal (d)
2367.000000
4446.928203
5236.164414
6327.000000
1111.732051

How To Calculate Without A Calculator

1. Square the length, width, and height.
2. Sum the squared values.
3. Take the square root of the sum.
4. The result is the space diagonal of the prism.

About This Calculator

This rectangular prism diagonal calculator automatically computes the space diagonal using the rectangular prism diagonal formula with up to six decimal places.

Interesting Facts About Rectangular Prisms

• Space diagonal is the longest line connecting two opposite corners.
• Useful in 3D design and construction.
• Each face diagonal is shorter than the space diagonal.
• Calculated using the Pythagorean theorem in 3D.
• Key in geometry, packaging, and spatial measurements.