The total surface area of a cube is $$150\ cm^2$$. Its volume is:
Correct option is B. $$125\ cm^3$$
We know that the total surface area of the cube $$=6a^2$$.
Given, the surface area of a cube is $$150 cm^2$$.
So,
$$150=6a^2$$
$$\implies$$ $$a^2=\dfrac{150}{6}=25$$
$$\implies$$ $$a=5$$.
Hence, the side of the cube is $$5cm$$.
Now, we know that the volume of the cube $$V=a^3$$
Therefore, $$V=5^3=125 cm^3$$.
Hence, option $$B$$ is correct.