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. 64 $m^3$
• B. 216 $m^3$
• C. 512 $m^3$
• D. 195 $m^3$

Answer 1

Answer: (B)

216 $m^3$

Answer 2

Let length of side of the cube be a then volume of cube = $a^3$
Also, surface area of cube = 6 $a^2$
Given, volume of cube = surface area of cube
or $a^3 = 6a^2$
$\Rightarrow a = 6$ m
Thus, volume of the cube = $( 6 )^3 = 216 \,m^3$