The area of the base of a pyramid is 98 in.2, and the height is 8 in. a.) How far from the vertex must a plane parallel to the base be passed so that the area of the cross section is half the area of the base? What is the volume of the frustum formed? b.) How far from the vertex must a plane parallel to the base be passed so that the volume of the upper smaller pyramid is one third the volume of the original pyramid?

The area of the base of a pyramid is 98 in.2, and the height is 8 in. a.) How far from the vertex must a plane parallel to the base be passed so that the area of the cross section is half the area of the base? What is the volume of the frustum formed? b.) How far from the vertex must a plane parallel to the base be passed so that the volume of the upper smaller pyramid is one third the volume of the original pyramid?

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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