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Pyramid A is a square pyramid with a base side length of 9 inches and a
height of 10 inches. Pyramid B has a volume of 1,350 cubic inches. How
many times bigger is the volume of pyramid B than pyramid A? Give your
answer as a percent. Provide an explanation and proof for your answer to
receive full credit. (10 points)

Respuesta :

xero099

The volume of pyramid B is 5 five times greater than the volume of pyramid A, that is, the former volume is 400 % greater than the latter volume.

How to determine the volume ratio between two pyramids

Herein we know the dimensions of pyramid A and the volume of pyramid B. The volume of the pyramid can be found by using the following formula:

V = (1/3) · B · h     (1)

Where:

  • B - Area of the base, in cubic inches.
  • h - Height of the pyramid, in inches.

First, the volume of pyramid A is calculated:

V = (1/3) · (9 in)² · (10 in)

V = 270 in³

Lastly, the volume ratio is found:

r = 1350 in³/270 in³

r = 5

The ratio in percentage is expressed below:

e = (r - 1) × 100 %

e = 4 × 100 %

e = 400 %

The volume of pyramid B is 5 five times greater than the volume of pyramid A, that is, the former volume is 400 % greater than the latter volume.

To learn more on volumes: https://brainly.com/question/1578538

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