Question

A square pyramid is 6 feet on each side. The height of the pyramid is 4 feet. What is the total area of the pyramid?

Answer 1

Answer:

Option C

Step-by-step explanation:

96ft2

Answer 2

Answer:

Area of pyramid = $96$. square feet.

Step-by-step explanation:

Given : A square pyramid is 6 feet on each side. The height of the pyramid is 4 feet.

To find:  What is the total area of the pyramid.

Solution : We have given

Each side of square pyramid = 6 feet .

Height = 4 feet .

Area of pyramid = $(side)^{2} + 2* side\sqrt{\frac{(side)^{2}}{4} +height^{2}}$.

Plug the values side =  6 feet  , height = 4 feet .

Area of pyramid = $(6)^{2} + 2* 6\sqrt{\frac{(6)^{2}}{4} + 4^{2}}$.

Area of pyramid = $36+ 12\sqrt{\frac{36}{4} + 16}$.

Area of pyramid = $36+ 12\sqrt{9 +16}$.

Area of pyramid = $36+ 12\sqrt{25}$.

Area of pyramid = $36+ 12 *5$.

Area of pyramid = $36+ 60$.

Area of pyramid = $96$. square feet.

Therefore, Area of pyramid = $96$. square feet.