Question

Find the surface area of the right square pyramid. Round your answer to the nearest hundredth.

Answer 1

Answer: Option C.

Explanation:

To calculate the surface area of the right square pyramid, you need to use the following formula:

`SA=(1)/(2)(4s)(l)+(s^2)`

Where "s" is the length of any side of the base and "l" is the slant height.

You can identify in the figure that:

`s=5.3yd\\l=11.1yd`

Therefore, substituting these values into the formula, you get this result:

`SA=(1)/(2)(4(5.3yd))(11.1yd)+((5.3yd)^2)\\\\SA=145.75yd^2`

Answer 2

C. 145.75 yd²

EXPLANATION

First we need to calculate the area of the four triangular faces.

The lateral surface area

`= 4 * (1)/(2) * 5.3 * 11.1`

`= 117.66 {yd}^(2)`

The area of the base is

`= 5.3 * 5.3`

`= 28.09`

To find the total surface area, we add the area of the square base to the area of the 4 triangular faces.

Therefore the total surface area is

`= 117.66 + 8.09 = 145.75 {yd}^(2)`