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Home > CALC > Chapter 8 > Lesson 8.3.1 > Problem 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?