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?

60 ft2
156 ft2
96 ft2
120 ft2

Answer 1

Option C

Explanation:

96ft2

Answer 2

Area of pyramid =
`96`. square feet.

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{((side)^(2))/(4) +height^(2)}`.

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

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

Area of pyramid =
`36+ 12\sqrt{(36)/(4) + 16}`.

Area of pyramid =
`36+ 12√(9 +16)`.

Area of pyramid =
`36+ 12√(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.