Proof(s) of the formula for finding the volume of a pyramid

Please prove 1/3*A*h,

whereas A is the base area and h is the height.

(Please prove this in a simple way since I am a secondary student.)

1 Answer

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  • Andrew
    Lv 6
    1 decade ago
    Favorite Answer

    Calculus may not be appropriate here, although that is needed for arbitrary pyramid.

    See this, this proof why 1/3*A*h for triangular based pyramid.

    http://aleph0.clarku.edu/~djoyce/java/elements/boo...

    You may need to use the links to go into the details if you need, in particular Proposition 5 is probably the most important one to look for.

    For arbitrary shaped pyramid, think of they are composed to many small triangular based one :).

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