Volume of a Cuboid

A cuboid is a 3 dimensional shape.
To work out the volume we need to know 3 measurements.

Look at this shape.

There are 3 different measurements:

Length, Width, Height

Volume is how much space is inside the cuboid.

The volume is found using the formula:

Volume = Length × Width × Height

Which is usually shortened to:

V = l × w × h

Or more simply:

V = lwh

In Any Order

It doesn't really matter which one is length, width or height, so long as you multiply all three together. For example, 2 × 3 × 4 is the same as 4 × 3 × 2.

Example: Lengths in meters (m):

The volume is:

10 m × 4 m × 5 m = 200 m³

It also works out the same like this:

4 m × 5 m × 10 m = 200 m³

Note: a 1 m × 1 m × 1 m cube is 1 m³, so 200 m³ means 200 of those 1-meter cubes fit inside the cuboid.

Try It Yourself