socratic scanmath logo

How to Calculate the Volume of a Cuboid

Welcome back to the ScanMath. Today, we're looking at how to work out the volume of a cuboid.

Daniel Hayes
Apr 23, 2026 | 7 mins
Tips

So to work out the volume of a cuboid, we have this super simple formula: Volume = Length × Width × Height.

How to Calculate the Volume of a Cuboid

What Is Volume?

First of all, the volume is the amount of space that a shape takes up. So we're talking about all of the measurements of this cuboid, which is how much space it takes up in space.

What Is a Cuboid?

A cuboid is a three-dimensional shape. It has a height, length, and width.  Each face of a cuboid is a rectangle.

Find the Volume of a Cuboid

To find the volume of any cuboid, all we have to do is multiply the length, width, and height together. In fact, all we are doing is finding the area of one of the faces and then multiplying it by the width to determine how many times that area will fit into the whole cuboid.

1. 6cm, 4cm, 2cm Cuboid

Step 1: V=L x W x H

Step 2: V=8 x 5  x 3 = 120cm³

2. 5cm, 4cm, 3cm Cuboid

Step 1: V=L x W x H

Step 2: V=5 x 4  x 3 = 60cm³

3. 1cm, 3cm, 6cm Cuboid

Step 1: V=L x W x H

Step 2: V=1 x 3  x 6 = 18cm³

4. 5mm, 5mm, 6mm Cuboid

Step 1: V=L x W x H

Step 2: V=5 x 5  x 6 = 150mm³

5. 12m, 5m, 7m Cuboid

Step 1: V=L x W x H

Step 2: V=12 x 5  x 7 = 420m³

Finally

As you can see, the volume formula is a multiplication operation. And multiplication is commutative, so it doesn't really matter which way around we put these measurements. We are still going to get the same answer.

Recent Articles