Question

A square pyramid has 1 square base and 4 triangular faces. Find its surface area. A. The area of the base is ________ square centimeters. B. The area of the four faces is ______ square centimeters. C. The surface area is ___________ square centimeters.

Answer 1

See Explanation

Explanation:

I will answer this question with the attached square pyramid

From the attached pyramid, we have:

`Base\ Length = 20m`

So, the base area is:

`Area = Length * Length`

`A_1= 20m*20m`

`A_1= 400m^2`

The dimension of each of the 4 triangles is:

`Height = 16.4m`

`Base = 20m`

So, the area of 4 triangles is:

`Area = 4 * 0.5 * Base * Height`

`A_2 = 4 * 0.5 * 20m * 16.4m`

`A_2 = 656m^2`

So, the surface area is:

`Area = A_1 + A_2`

`Area = 400m^2 + 656m^2`

`Area = 1056m^2`