kibble1417 kibble1417
  • 28-03-2020
  • Mathematics
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A prism can hold 45 gallons of water. How many gallons of water can a pyramid with the same base and height hold?

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calculista
calculista calculista
  • 06-04-2020

Answer:

15 gallons

Step-by-step explanation:

we know that

The volume of a prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base

h is the height

we have

[tex]Bh=45\ gal[/tex] ----> equation A

The volume of the cone with the same base and height is equal to

[tex]V=\frac{1}{3}Bh[/tex]

substitute equation A in the volume of the cone

[tex]V=\frac{1}{3}(45)=15\ gal[/tex]

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