Four Cubes
You have four cubes. They have lengths of 2 meters, 4 meters, 3 meters, and 9 meters, respectively. Calculate the volume and surface area for each cube.
Find a relationship between the volume of the first cube and the volume of the second cube.
Now find a relationship between the volume of the third cube and the volume of the fourth cube.
Find a relationship between the surface area of the first cube and the surface area of the second cube.
Now find a relationship between the surface area of the third cube and the surface area of the fourth cube.
If a cube having side length x has volume V and surface area S, what would be the volume and surface area of cube having side length x2 (in terms of V and S, respectively)?