Changing Cubes
What happens to the surface area of a cube when all the dimensions are doubled? tripled?
What happens to the volume of a cube when all the dimensions are doubled? tripled?
If you want to increase the volume of a cube by 216 cubic units, how should you change the dimensions of the cube?
Repeat the investigation above using a rectangular prism and a cylinder.
Extension
What happens to the surface area and volume of a rectangular prism and cylinder when only one dimension is modified? How about if two of the dimensions are modified?