In high school, students construct informal justifications of volume formulas. Students might view a pyramid as a stack of layers and, using Cavalieri’s Principle, see that shifting the layers does not change the volume. Furthermore, stretching the height of the pyramid by a given scale factor thickens each layer by the scale factor which multiplies its volume by that factor. Using such arguments, students can derive the formula for the volume of any pyramid with a square base.
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