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Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 48 inches and a height of 32 inches. How many times bigger is the volume of pyramid B than pyramid A24 points​

Sagot :

Answer:

Volume of Pyramid A:

12(base) x 8(height) = 96

96 divided by 3 ( x 1/3) = 32

Volume of Pyramid B:

48(base) x 32(height) = 1,536

1,536 divided by 3 ( x 1/3) = 512

512 - 32 = 480 many times bigger.

If you are going to solve this you first need to know the formula volume of a pyramid,

It is your area on the bottom (base) x height x 1/3 (basically just dividing by 3).

In pyramid A, in this case our base is 12 and our height is 8 so we multiply them and divide by 3 since that is the formula of finding the volume.

abidemiokin

Pyramids are 3-dimensional shapes having different shapes as their base and perpendicular height. The pyramid B is 64 times bigger than that pyramid A

How to calculate the volume of a pyramid?

The formula for calculating the volume of a pyramid is expressed as:

V = 1/2BH

B is the base area

H is the height

For the Pyramid A

Va = 1/3 * 12² * 8
Va = 48 * 8
Va = 384 cubic inches

For the Pyramid B

Vb = 1/3 * 48² * 32
Vb = 768  * 32
Vb = 24,576 square inches

Take the ratio of the volumes

Vb/Va = 24,576/384
Vb/Va = 64
Vb = 64Va

This shows that the pyramid B is 64 times bigger than that of pyramid A

Learn more on volume of pyramid here: https://brainly.com/question/218706

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