Question

The surface area of a cube is $$150\, cm^2$$. Its volume is:

Answer 1

Correct option is B. $$125\, cm^3$$
Surface area of a cube $$=6\, \times\, ($$edge$$)^2\, =\, 150cm^2$$
$$\Rightarrow\, ($$edge$$)^2\, =\, \displaystyle \frac{150}{6}\, =\, 25$$
$$\Rightarrow\, $$ edge $$\, =\, \sqrt{25}$$ cm $$ =\, 5$$ cm.

$$\therefore$$ Volume of the cube $$=\, ($$edge$$)^3$$
$$=\, (5)^3 =\, 125\, cm^3$$.

Hence, option $$B$$ is correct.