1. The area of one face of a cube is $16 \mathrm{~cm}^{2}$. The volume of the same cube is $V \mathrm{~cm}^{3}$. What is the value of $V$ ?
1. Since the area of one square face of the cube is $16 \mathrm{~cm}^{2}$, the edge length of the cube is $\sqrt{16 \mathrm{~cm}^{2}}$ which equals $4 \mathrm{~cm}$.
Since the edge length of the cube is $4 \mathrm{~cm}$, its volume is $(4 \mathrm{~cm})^{3}=4^{3} \mathrm{~cm}^{3}=64 \mathrm{~cm}^{3}$. Thus, $V=64$.
ANSWER: 64