### Home > CALC > Chapter 8 > Lesson 8.3.1 > Problem 8-100

8-100.

Cavalieri' s theorem states that if two solids have equal height and all corresponding cross-sections have the *same area*, then the solids have the same volume. This relationship holds even when the two solids do not have the same shape. Examine a deck of cards to help explain why this must be true.

What is the total volume of a stack of cards? What is the total volume of scattered cards?