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A regular hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meters. What is the surface area, in square meters, of the hexagonal prism?
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A regular hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meters. What is the surface area, in square meters, of the hexagonal prism?

User NaXir
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9.3k points

1 Answer

4 votes
we know that

[volume of a regular hexagonal prism]=[area of the base]*height
height=volume/area of the base
h=160/64-----> 2.5 m

[surface area hexagonal prism]=2*[area of the base]+[perimeter of base]*h
[surface area hexagonal prism]=2*[64]+[30]*2.5----> 203 m²

the answer is
203 m²
User Bart Haalstra
by
8.5k points
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