Question

The surface area of a cube is $1734c{m}^3$. Then, its volume is:

• A. $2197$ $c{m}^3$
• B. $4913$ $c{m}^3$
• C. $2744$ $c{m}^3$
• D. $4096$ $c{m}^3$

Answer 1

Answer: (B)

$4913$ $c{m}^3$

We know, Surface area of cube $A=6(side{)}^2$.

Given, Surface area of cube $A=1734c{m}^2$.

$\Rightarrow 6\times (side{)}^2=1734c{m}^2$

$\Rightarrow (side{)}^2=289c{m}^2$

$\Rightarrow side=17cm$.

We know, Volume of cube $V=(side{)}^3$.

Given, Volume of cube

$={17}^3$

$=17\times 17\times 17$

$=4913c{m}^3$.

Therefore, option $B$ is correct.