You should know the following formulae to work out the volumes of these 3D solid shapes:

**Cube**

You must know:

- the
**side**length.

*Remember that the length, the width and the height will all be equal to the side length, because this is a CUBE.*

Volume of **cube** = side length × side length × side length

**Cuboid**

You must know:

- the
**length** - the
**width** - the
**height**.

Volume of **cuboid** = length × width × height

**Example 1**

Can a volume formula be used to work out the volume of this cuboid, and if so, which one is best?

**Answer**

This is a cuboid.

We must know:

- the
**length** - the
**width** - the
**height**.

The length is **15 cm**, the width is **4 cm** and the height is **8 cm**.

**Yes**, we can use the volume formula:

**Volume of cuboid = length × width × height**

**Example 2**

Can a volume formula be used to work out the volume of this cube, and if so, which one is best?

**Answer**

This is a cube.

We must know:

- the side
**length**.

The side length is **7 cm**, so the width and the height are also **7 cm**.

**Yes**, we can use the volume formula:

**Volume of cube = side length × side length × side length**

**Example 3**

Can a volume formula be used to work out the volume of this cuboid, and if so, which one is best?

**Answer**

This is a cuboid.

We must know:

- the
**length** - the
**width** - the
**height**.

The length is **9 cm**, the width is **4 cm** but we do not know the height.

**No**, we cannot use a volume formula.

*NB The length, the width and the height are all interchangeable with each other, depending on how you look at a cuboid.*