Volume of Rectangular Prism Calculator

Length, Width, Height — and Nothing Else

Boxes, rooms, shipping containers, and most furniture are rectangular prisms, and their volume is the most familiar formula in geometry: multiply the three dimensions together. It's the cube's formula generalized to allow each edge its own length.

The Formula

Volume = Length × Width × Height

Worked Example

For a box with length 4, width 3, and height 5:

Rectangular prism volume
LengthWidthHeightVolume
43560

Where This Matters

  • Room and space planning — cubic capacity of a room drives HVAC sizing and ventilation calculations.
  • Shipping and freight — cubic volume of cartons determines how many fit in a container or truck.
  • Concrete and material orders — a rectangular footing or slab's volume sets how much concrete to order.

How to Use This Calculator

  1. Enter the Length.
  2. Enter the Width.
  3. Enter the Height.
  4. Select Calculate to get the volume.

Related Calculations

All three dimensions equal? Use the simpler Volume of Cube Calculator, or find the outer surface with the Surface Area Calculator.