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## The area of the base of a right square pyramid is multiplied by 5, but the height is unchanged. What is the volume of the new pyramid divide

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The area of the base of a right square pyramid is multiplied by 5, but the height is unchanged. What is the volume of the new pyramid divided by the volume of the original pyramid?

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Mathematics
3 years
2021-08-18T23:17:03+00:00
2021-08-18T23:17:03+00:00 2 Answers
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## Answers ( )

The ratio of volumes is 5

9514 1404 393

Answer:5

Step-by-step explanation:The volume of a right square pyramid is given by the formula …

V = 1/3Bh

where B is the area of the base.

The volume of the larger pyramid will be …

V’ = 1/3(5B)h

So, the ratio of volumes is …

V’/V = (1/3(5B)h)/(1/3Bh)

V’/V = 5The ratio of volumes is 5.