Question

The cost of painting the whole surface area of a cube at the rate of 10 palse per $c{m}^2$ is 264.60. Then, the volume of the cube is

(a) $6859c{m}^3$

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

(c) $8000c{m}^3$

(d) $10648c{m}^3$

Answer 1

Rate of painting =10 paise per $c{m}^2$

Total cost =Rs.264.60

$\therefore$ Total surface area $=\frac{264.60}{10}c{m}^3$

$=\frac{26460}{10}=2646c{m}^2$

$\therefore$ SIde $=\sqrt{\frac{2646}{6}}=\sqrt{441}=21cm$

Volume $=a^3=(21{)}^3=9261c{m}^3$