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A certain hexagonal prism has a volume of 160 cubic meters. It’s base has a perimeter of 30 meters and a area of 64 square meters. What is the surface area, in square meters, of the hexagonal prism?

Respuesta :

calculista
we know that

[volume of hexagonal prism]=[area of base]*[height]
[height]=[volume of hexagonal prism]/[area of base]
Volume=160 m³
Area=64 m²
[height]=[160]/[64]=2.5 m

[surface area of hexagonal prism]=[perimeter of base]*[height]+2*[area of base]
perimeter=30 m
height=2.5 m
Area=64 m²
[surface area of hexagonal prism]=[30]*[2.5]+2*64=135.5 m²

the answer is
the surface area, of the hexagonal prism is 135.5 m²

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