Question

What is the surface area of the regular pyramid below?

A. 1512 units^2
B. 700 units^2
C. 1124 units^2
D. 756 units^2

Answer 1

B. 700 units^2

Step-by-step explanation

The surface area of the pyramid is the area of the four triangular faces plus the area of the square base.

The area of the four triangular faces is

`= 4 * (1)/(2) * bh`

We substitute b=14 and h=18.

`= (1)/(2) * 14 * 18 * 4`

`=504 {units}^(2)`

The area of the square base

`= {14}^(2) = 196 {units}^(2)`

The surface area of the pyramid is

`= 196 + 504 = 700 {units}^(2)`