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A certain 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??

1 Answer

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Answer:

The surface area is equal to
203\ m^(2)

Explanation:

step 1

Find the height of the prism

we know that

The volume of the prism is equal to


V=Bh

where

B is the area of the base of the prism

h is the height of the prism

we have


V=160\ m^(3)


B=64\ m^(2)

substitute in the formula and solve for h


160=64h


h=160/64=2.5\ m

step 2

Find the surface area

The surface area of the prism is equal to


SA=2B+Ph

where

B is the area of the base of the prism

P is the perimeter of the base

h is the height of the prism

we have


B=64\ m^(2)


P=30\ m


h=2.5\ m

substitute in the formula


SA=2(64)+(30)(2.5)=203\ m^(2)

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