Mathematics College

MAFS.912. G-GMD. 1.3
A regular pyramid has a square base. The perimeter of the base is 36
inches and the height of the pyramid is 15 inches. What is the volume of
the pyramid in cubic inches?
A. 180
B. 405
C. 540
D. 1215

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The volume of the square pyramid is 405 cubic inches.

The correct answer is option (B).

What is the volume of the square pyramid?

V = 1/3 × base area × h,

where h is the height of the pyramid.

What is the perimeter of square?

P = 4 × a

where, 'a' represents the side of the square

For given example,

Let 'a' be the side length of the square base.

We have been given the perimeter of the square base is 36.

⇒ P = 36

⇒ 4 × a = 36

⇒ a = 9

So, the length of the side of the square base is 9 in.

Using the formula of the volume of the pyramid,

⇒ V = (1/3) × base area × h

⇒ V = (1/3) × a² × h

⇒ V = (1/3) × (9)² × 15

⇒ V = 27 × 15

⇒ V = 405 cubic inches

Therefore, the volume of the square pyramid is 405 cubic inches.

The correct answer is option (B).

Learn more about the volume of the square pyramid here:

https://brainly.com/question/23323560

#SPJ2

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Answer:

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

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Answers

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Answers

9514 1404 393

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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