Fifteen cylinders and 15 rectangular prisms are stacked. Each cylinder has the same top surface area and height as each rectangular prism. What can you determine about the volumes of the two stacks of 15 solids? Explain.
Choose the correct answer below.
A.
The two stacks have the same volume because they have the same height and width.
B.
The stack of prisms has a larger volume because the heights are the same and the circle can fit inside the rectangle, so it is smaller.
C.
The two stacks have the same volume because they have the same height and the same cross-sectional area at every level.
D.
The stack of cylinders has a larger volume because the heights are the same and a circle has a larger area than a rectangle with the same perimeter.