A pyramid 3 m high has a square base that is 3 m on a side. The cross-section of the pyra-mid perpendicular to the altitude x m down from the vertex is a square x m on a side. Findthe volume of the pyramid.

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Answered: A pyramid 3 m high has a square base…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.2: Pyramids, Area, And Volume

Problem 23E

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A pyramid 3 m high has a square base that is 3 m on a side. The cross-section of the pyra- mid perpendicular to the altitude x m down from the vertex is a square x m on a side. Find the volume of the pyramid.