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Allushta [10]
3 years ago
13

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?

Mathematics
2 answers:
Nitella [24]3 years ago
3 0

Answer:

Option C

Step-by-step explanation:

96ft2

denis23 [38]3 years ago
3 0

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.

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