ABC26GN4845 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:

The cost of painting the whole surface area of a cube at the rate of 13 paise per sq. cm is ₹ 343.98. Then the volume of the cube is :
(a)$8500 \mathrm{cm}^{3}$
(b)$9000 \mathrm{cm}^{3}$
(c)$9250 \mathrm{cm}^{3}$
(d)$9261 \mathrm{cm}^{3}$
Answer
Answer (as printed): D
Explanation
Surface area $=\left(\frac{34398}{13}\right)=2646 \mathrm{cm}^{2}$. $$\therefore 6 a^{2}=2646 \Rightarrow a^{2}=441 \Rightarrow a=21 .$$ So, Volume $=(21 \times 21 \times 21) \mathrm{cm}^{3}=9261 \mathrm{cm}^{3}$.

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