Question

The volume of a cube in $m^3$ is equal to the surface area of the cube in $m^2.$ The volume of the cube is:

• A. $64m^3$
• B. $216$ $m^3$
• C. $512$ $m^3$
• D. $196$ $m^3$

Answer 1

The correct option is B $216$ $m^3$

Let the length of a side of the cube be $l$.

So, as per given condition:

$l^3=6l^2$

$\Rightarrow$ $l=6$

$\therefore$ Volume $=l^3=6^3{m}^3=216m^3$