Question

Find the volume of a pyramid with a square base, where the perimeter of the base is
15.8 ft and the height of the pyramid is 20.4 ft. Round your answer to the nearest
tenth of a cubic foot.

(It’s on deltamath)

Answer 1

Answer:

106.1

Step-by-step explanation:

i got it right on delta math

Answer 2

The volume of the given pyramid is 106.1 cubic foot.

To Find the Volume of a pyramid with a square base

Given:

The perimeter of the base is 15.8 feet

The base of the pyramid is square given of side say L .

Thus, from the formula of perimeter of square,

⇒ 4*L = 15.8 feet

∴  L = 3.95 feet

Now the base area of the pyramid is $L^{2}$ as it is a square .

∴ Base area = 3.95*3.95 square feet

= 15.6025 square foot

Now, formula for volume of the pyramid

=  1/3 * base area * height

⇒ Volume = 1/3 * 15.6025 * 20.4 cubic foot

∴ Volume = 106.097 cubic foot

Thus volume of the given pyramid is 106.1 cubic foot rounded off to nearest tenth.

To Learn how to calculate volume of a pyramid, refer:

• https://brainly.com/question/2427278

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