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The pentagonal prism below has a base area of 25 units^2 and a volume of 325 units^3. Find its height.

User Cris
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1 Answer

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The calculated height of the pentagonal prism is 13 units.

How to determine the height of the pentagonal prism

The volume of a prism is the area of the base times the height. So, we can set up the equation:

Bh = 325

where:

  • B is the area of the base (25 square units)
  • h is the height

Plugging in the values we know, we get:

25h = 325

Dividing both sides by 25, we get:

h = 13

Hence, the height of the pentagonal prism is 13 units.

User Mgiesa
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