# Cuboids and Cubes

## Cuboids

A cuboid is a shape with **6 faces, 12 edges and 8 vertices.**

## Volume of a Cuboid

Volume = Length x Height x Breadth

Length = Volume / (Height x Breadth)

Height = Volume / (Length x Breadth)

Breadth = Volume / (Length x Height)

**Example:**

**Length** = 14cm

**Height** = 6cm

**Breadth** = 3cm

Find the volume of this cuboid.

**Volume = L x H x B**

Volume = 14cm x 6cm x 3cm = 252cm³

## Cubes

A cube is a cuboid which has all sides of the same length.

Height = Length = Breadth, in a cube

Therefore, calculating the perimeter, surface area and volume of this cuboid is different.

### PERIMETER OF A CUBE

Perimeter = 12 x Side

### SURFACE AREA OF A CUBE

Surface Area = 6 x Side²

### VOLUME OF A CUBE

Volume = Side³

**Example:**

Find the perimeter of a cube with sides of 4cm in length.

Perimeter of a cube = 12 x Side

Side = 4cm

Perimeter = 12 x 4cm = 48cm