Question

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 3 inches. The base of the triangle is the side of the square. What is the surface area of the solid? 16 square inches 24 square inches 28 square inches 32 square inches

I know the answer but I am making sure.

Answer 1

16 square inches

Explanation:

First, find the area of the square.

Area of a square = width x length = 2 x 2 = 4 in²

All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.

Area of a triangle = 1/2 x base x height = 1/2 x 2 x 3 = 3 in²

So the total area of all 4 triangles = 4 x 3 = 12 in²

Therefore the total surface area = 4 + 12 = 16 in²