2. Determine whether each statement is true or false. Justify each answer with a sketch of the cross section if the statement is true or a sketch of a counterexample if it is false. (a) Every cross section of a rectangular prism is a rectangle.
(b) Every cross section of a cube is a square.

3. Beverly needs to make a container in the shape of a rectangular prism that holds of liquid. The height of the container must be 10 in. She wants to use the dimensions that will allow her to use the least amount of material possible. Beverly’s mother says the difference in the amount of material will be too minor to worry about. Beverly believes it is possible to save more than half the material needed if they pick the right dimensions. Who is correct? Support your answer with specific numbers, and explain your reasoning. The dimensions are measured in whole units.