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3 years ago

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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