Question

The cost of painting the whole surface area of a cube at the rate of 13 paise per sq.cm is Rs. 343.98. Then the volume of the cube is:

• A. 8500 cm³
• B. 9000 cm³
• C. 9250 cm³
• D. 9261 cm³
• E. 9241 cm³

Answer 1

The correct option is D

9261 cm³

Surface area = $\left(\frac{34398}{13}\right)$ = 2646 cm${}^2$ $\therefore$6a${}^2$ = 2646 $\Rightarrow$ a${}^2$ = 441 $\Rightarrow$ a = 21 So, volume = (21 $\times$ 21 $\times$21) cm${}^3$= 9261 cm${}^3$