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The pentagonal prism below has a height of 11 units and a volume of 451 units. Find the area of one of its bases.

The pentagonal prism below has a height of 11 units and a volume of 451 units. Find-example-1
User Sitifensys
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1 Answer

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Given:

The height of the pentagonal prism = 11 units.

The volume of the pentagonal prism = 451 cube units.

Required:

We need to find the baser area.

Step-by-step explanation:

Consider the formula to find the volume of the pentagonal prism.


V=Base\text{ area}* Height

Substitute V =451 and height = 11 in the formula.


451=Base\text{ area}*11

Divide both sides by 11.


(451)/(11)=Base\text{ area}*(11)/(11)


41\text{ units}^2=Base\text{ area}

Final answer:


Base\text{ area=}41\text{ units}^2

User Eonasdan
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