Math

Rectangular Prism (Box) Volume Calculator

Enter the three dimensions of a box to find its volume and surface area.

Your numbers

Your results

Volume
Volume
—
Surface area
—
Space diagonal
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Rectangular Prism (Box) Volume Calculator by TheCalcTools

How the Rectangular Prism (Box) Volume Calculator works

Enter length, width and height in one unit.

Volume is the product of the three sides.

The surface area adds the six rectangular faces.

The formula

V = l × w × hA = 2(lw + lh + wh)

Worked example

Using the default values shown in the calculator:

Length10
Width6
Height4
  1. Volume = 10 × 6 × 4 = 240.
  2. Surface area = 2 × (60 + 40 + 24) = 248.
  3. Diagonal = √(100 + 36 + 16) = 12.3288.

Result:

Volume240.00
Surface area248.00
Space diagonal12.3288

Frequently asked questions

Is a cube a rectangular prism?

Yes, a cube is a prism whose three dimensions are equal.

How do I convert the volume to litres?

If the sides are in centimetres, divide the cm³ result by 1000.

Sources and further reading

More in Math · All calculators

This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.