The base, of a right prism is a regular hexagon of side 5 cm. If its height is 12√3 cm, then its volume (in cm3) is:
A. 1800
B. 900
C. 1350
D. 675
Answer: Option C
Solution (By Examveda Team)

$$\eqalign{ & V = {\text{Base area}} \times {\text{Height}} \cr & V = 6 \times \frac{{\sqrt 3 }}{4} \times {5^2} \times 12\sqrt 3 \cr & V = 18 \times 3 \times 25 \cr & V = 1350 \cr} $$
Related Questions on Mensuration 3D
A. 1.057 cm3
B. 4.224 cm3
C. 1.056 cm3
D. 42.24 cm3
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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