Math CentralQuandaries & Queries


Question from tuba, a student:

a pyramid has a base of 10 m and is 15 m high.what is the volume? if 6m is removed from top what is the volume of the remaining frustum?


You can use the technique in our response to a similar question to find the volume of the large pyramid. If you can find the dimensions of the base of the 6 m high pyramid to be removed you can use the same technique to find its volume. The volume of the frustum is then the difference of the volumes of the two pyramids.

I would use similar triangles to calculate the dimensions of the 6m high pyramid.


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