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?
A. 3√3
B. 6√3
C. 6
D. 3
Answer: Option A
Solution (By Examveda Team)
Total surface area = perimeter × height + 2 × area of base216√3 = 6 × 6 × h + 2 × 6 × $$\frac{{\sqrt 3 }}{4}$$ × 6 × 6
216√3 = 36h + 108√3
108√3 = 36h
h = 3√3 cm
This Question Belongs to Arithmetic Ability >> Mensuration 3D
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A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$
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