Cavalieri's Principle

If two solids have the same height and identical cross-sectional areas at the same height, what can we conclude about their volumes?

A cylinder has a height of $9\text{cm}$ and a cross-sectional area of $10{\text{cm}}^2$. A rectangular prism has the same height of $9\text{cm}$ and a cross-sectional area of $10{\text{cm}}^2$. Do they have the same volume?

Two solids have the same cross-sectional area of $20{\text{cm}}^2$ at every height. The first solid has a height of $12\text{cm}$, and the second solid has a height of $15\text{cm}$. Do they have the same volume?

Two solids have a height of $10\text{cm}$. One has a square cross-section with an area of $25{\text{cm}}^2$, and the other has a circular cross-section with the same area of $25{\text{cm}}^2$. What can you conclude about their volumes?

Two solids have the same height of $9\text{cm}$. The first solid has a cross-sectional area of $10{\text{cm}}^2$ at every height, and the second solid has a cross-sectional area of $15{\text{cm}}^2$ at every height. Do they have the same volume?

A stack of toast has a height of $15\text{cm}$, and its cross-sectional area is $40{\text{cm}}^2$ at each level. Another stack has the same height but a cross-sectional area of $50{\text{cm}}^2$ at each level. Using Cavalieri's principle, what can we conclude about the volumes of these two stacks?