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 tetrahedroncut 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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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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The base of a right prism is a regular hexagon with sides 6 cm. If the volume of the right prism is 500 cubic meters, find the distance between the bases.
A conical frustum is created by taking a cone and slicing the top of the cone off parallel to the base of the large cone to create a smaller cone. The frustum shown below is 6 cm tall and was created by slicing a small cone off the top of a large cone. Let the circular bases of the frustum be in the ratio of 4:25. If the radius of the smaller circle is 8, find the volume of the large cone and small cone
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6. The altitude of a right circular cylinder and the radius of its base are each 12 inches long. Two regular triangular prisms are inscribed in and circumscribed about the cylinder. Find the total surface areas of both prisms. T= 1,122.37 in.? T2 = 2,992.98 in.2
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