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1. A regular tetrahedron whose altitude is 18 in., is cut by a plane parallel to its base, 12 in. from the base. Find the ratio of the volume of the tetrahedron cut off by the said plane to the volume of the original tetrahedron. Also, find the ratio of their base areas and the ratio of their base edges.

1. A regular tetrahedron whose altitude is 18 in., is cut by a plane parallel to its base, 12 in. from the base. Find the ratio of the volume of the tetrahedron cut off by the said plane to the volume of the original tetrahedron. Also, find the ratio of their base areas and the ratio of their base edges.

Elementary Geometry For College Students, 7e
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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1. A regular tetrahedron whose altitude is 18 in., is cut by a plane parallel to its base, 12 in. from the base. Find the ratio of the volume of the tetrahedron cut off by the said plane to the volume of the original tetrahedron. Also, find the ratio of their base areas and the ratio of their base edges. 2. Find the total area and the volume of a regular tetrahedron if the measure of one edge is 10 inches.
Transcribed Image Text:1. A regular tetrahedron whose altitude is 18 in., is cut by a plane parallel to its base, 12 in. from the base. Find the ratio of the volume of the tetrahedron cut off by the said plane to the volume of the original tetrahedron. Also, find the ratio of their base areas and the ratio of their base edges. 2. Find the total area and the volume of a regular tetrahedron if the measure of one edge is 10 inches.
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