Question

The cost of painting the whole surface area of a cube at the rate of $13$ paise per $c{m}^2$ is $Rs.343.98$, then the volume of the cube is ________

• A. $6859c{m}^3$
• B. $8000c{m}^3$
• C. $9261c{m}^3$
• D. $10.648c{m}^3$

Answer 1

The correct option is C $9261c{m}^3$

S.A. of cube $=6a^2$

rate = 13 paise/ $c{m}^2$

total cost = 343.98 Rs or 34398 paise

$\therefore$ total area = $\frac{totalcost}{rate}=\frac{34398}{13}$

total area $=2646c{m}^2$

$6a^2=2646\Rightarrow a^2=441$

$\therefore a=21cm$

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