An archeologist was digging around the pyramids of Ancient Egypt. He discovered a mummy covered in chocolate and nuts.

On further investigation the mummy was identified as Pharaoh Roche.

This is a clue to our topic.

We are going to look at the surface area of pyramids here.

**Surface area** is the area of** each face of the pyramid added together.**

Before we are ready to go, there are a few things to remember:

Area of a square = base x height

Area of a rectangle = base x height

Area of a triangle = base x height ÷ 2

**Example 1:**

This pyramid has a side length of 4 cm and its height is 5 cm.

To find the surface area of this **square-based **pyramid:

1. Calculate the area of the base: ** 4 x 4 = 16 cm² **

2. Find the area of one of the triangular sides: **4 x 5 ÷ 2 = 10 cm²**

3. There are four sides to the pyramid so:** 10 x 4 = 40 cm²**

4. Add the total area of the sides to the area of the base: **16 + 40 = 56 cm²**

**Example 2:**

This triangular-based pyramid has base 6 cm and height 8 cm.

To find the surface area of this **triangular-based **pyramid:

1. Calculate the area of the base: **6 x 8 ÷ 2 = 24 cm² **

2. There are four sides to the pyramid (the base and three sides) so: ** 24 x 4 = 96 cm²**

**Example 3:**

The base of this pyramid has sides of 5 cm and 6 cm. The height of the pyramid is 6 cm.

To find the surface area of this **rectangular-based **pyramid:

1. Calculate the area of the base: **5 x 6 = 30 cm²**

2. Find the area of the triangle with the base of 5 cm: **5 x 6 ÷ 2 = 15 cm² **

3. The face opposite has the same area so multiply that by 2: **15 x 2 = 30 cm²**

4. Now find the area of the triangle with the base of 6 cm: **6 x 6 ÷ 2 = 18 cm² **

5. The face opposite has the same area so multiply that by 2:** 18 x 2 = 36 cm²**

6. Finally, add all your answers together: **30 + 30 + 36 = 96 cm²**

Where do Pharaohs like to eat?

Pizza Tut

Hopefully, this has made you smile as you start the activity.