We know that the volume of a cube is one of the sides raise to the third power.
In this case, we have that we need to raise, both, 3 and 5 to the third power to obtain the volume in cubic centimeters. Then, we have:
For s = 3:
[tex]s^3=3\cdot3\cdot3=3^3=27\operatorname{cm}^3[/tex]
For s = 5:
[tex]s^3=5^3=5\cdot5\cdot5=125\operatorname{cm}^3[/tex]
Then, to find the surface area, we know that the area of one side of the cube is the side to the second power. Since the cube has 6 sides, then, we need to multiply this side by 6. Thus:
[tex]6\cdot(3^2)=6\cdot9=54cm^2[/tex]
That is the given value: 54 cm^2.
The other side is:
[tex]6\cdot(5^2)=6\cdot25=150\operatorname{cm}^2[/tex]
Therefore, the answers are:
For the first row:
27 cm^3, 54 cm^2.
Second row:
125 cm^3, 150 cm^2.
