Solid Geometry Calculators

Rectangular Prism Calculator

Calculate the volume, surface area, and space diagonal of a rectangular prism (cuboid). Enter the length, width, and height to find all measurements.


Enter prism dimensions
Length (l) units
Width (w) units
Height (h) units
Rectangular Prism Formulas

A rectangular prism (cuboid) has rectangular faces and right angles.

Volume:

$V = l × w × h$

Surface Area:

$SA = 2(lw + wh + lh)$

Space Diagonal:

$d = √(l² + w² + h²)$

Where $l$ is length, $w$ is width, and $h$ is height.

Example:

For a rectangular prism with dimensions 6 × 4 × 3 units:

  • Volume = 6 × 4 × 3 = 72 cubic units
  • Surface Area = 2(6×4 + 4×3 + 6×3) = 2(24 + 12 + 18) = 108 square units
  • Space Diagonal = √(6² + 4² + 3²) = √(36 + 16 + 9) = √61 ≈ 7.81 units