Question

Tick (✓) the correct answer:
The cost of painting the whole surface area of a cube at the rate of 10 paise per cm² is Rs 264.60. Then, the volume of the cube is
(a) 6859 cm³
(b) 9261 cm³
(c) 8000 cm³
(d) 10648 cm³

Answer 1

(b) $9261c{m}^3$

Rate of painting = 10 paise per sq cm = Rs 0.1/cm²
Total cost = Rs 264.60
Now, total surface area $=\frac{264.6}{0.1}=2646c{m}^2$
Also, length of edge, a $=\sqrt{\frac{2646}{6}}=\sqrt{441}=21cm$
$\therefore \mathrm{Volume}={21}^3=9261c{m}^3$