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A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?
Answer & Solution
Correct Answer:
Option
A
Total surface area = perimeter × height + 2 × area of base
216√3 = 6 × 6 × h + 2 × 6 × $$\frac{{\sqrt 3 }}{4}$$ × 6 × 6
216√3 = 36h + 108√3
108√3 = 36h
h = 3√3 cm
216√3 = 6 × 6 × h + 2 × 6 × $$\frac{{\sqrt 3 }}{4}$$ × 6 × 6
216√3 = 36h + 108√3
108√3 = 36h
h = 3√3 cm
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