Question

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric.

Answer 1

The answer is below

Explanation:

A square pyramid is a pyramid with a square base. Therefore it is composed of 4 identical triangles and a square base.

From the image attached:

Area of each of the triangle = (1/2) * 3 m * 4.5 m = 6.75 m²

Area of base = 3 m * 3 m = 9 m²

Since the sides are covered in blue fabric, hence:

Surface area of blue fabric = 4 * area of each triangle = 4 * 6.75 m² = 27 m²

The base is covered with brown fabric, hence Surface area of brown fabric = 4 * area of each triangle = 4 * 9 m² = 36 m²