keisoku

Rectangular Box Volume Calculator

Enter length, width, and height to find the volume of a rectangular box, plus its surface area and space diagonal.

Last updated:

Input

Enter the length, width, and height to calculate the volume, surface area, and space diagonal of a rectangular box.

Result

b 6c 3a 4

Volume

72

Surface area

108

Space diagonal

7.81025


Use the same length unit for all three edges. The volume is in cubic units and the surface area in square units.

How it works

  • The volume of a rectangular box equals length a times width b times height c. Enter all three edges in the same unit.
  • The surface area is 2(ab + bc + ca), the total of the six rectangular faces.
  • The space diagonal connecting the two farthest corners has length sqrt(a² + b² + c²).
  • If you enter lengths in cm, the volume is in cm³ and the surface area in cm². Keep all units consistent.

Frequently asked questions

How do I find the volume of a rectangular box?
Multiply length a × width b × height c. Keep all three edges in the same unit, so entering centimeters gives a volume in cm³.
How is this different from the cube calculator?
A rectangular box takes three separate values for length, width, and height, while a cube uses just one edge because all sides are equal. A box with three equal edges is a cube.
Can it also give the surface area and space diagonal?
Yes. The surface area is 2(ab + bc + ca) for the six paired faces, and the space diagonal connecting the farthest vertices is √(a² + b² + c²).

Reviews

Tell us what you think of this calculator.

Write a review

Found an incorrect result or a problem? Turn this on to report it.

Rating

  1. Home
  2. Math
  3. Rectangular Box Volume Calculator