Volume of a Prism and Cavalieri's Principle
- Mr. Reece
The volume of a prism as the area of the base time the height (V=Bh) can be demonstrated by moving the slider to the left and right. Cavalieri's principal (the volume of a prism stays the same no matter the slant as long as the height and area of the base remain the same) can be demonstrated by clicking and dragging the point labeled "shift".
1. Question: If the height of a prism changes by a factor of 2, by what factor does the volume change? 2. Question: If the length and width of a prism change by a factor of 3, by what factor does the volume change? 1. Answer: A factor of 2 2. Answer: A factor of 9