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Two rectangular pyramids are similar with a linear scale factor of 2. 1. What are possible base measures and heights of the two pyramids such that the ratio of the lengths is equal to the linear scale factor? Provide the following measurements of the pyramids: length and width of base and height of pyramid. 2. Find the volumes of the pyramids from question one. 3. Show that the volumes of the pyramids have a scale factor of the linear scale factor cubed.

Two rectangular pyramids are similar with a linear scale factor of 2. 1. What are possible base measures and heights of the two pyramids such that the ratio of the lengths is equal to the linear scale factor? Provide the following measurements of the pyramids: length and width of base and height of pyramid. 2. Find the volumes of the pyramids from question one. 3. Show that the volumes of the pyramids have a scale factor of the linear scale factor cubed.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Two rectangular pyramids are similar with a linear scale factor of 2. 1. What are possible base measures and heights of the two pyramids such that the ratio of the lengths is equal to the linear scale factor? Provide the following measurements of the pyramids: length and width of base and height of pyramid. 2. Find the volumes of the pyramids from question one. 3. Show that the volumes of the pyramids have a scale factor of the linear scale factor cubed.
Transcribed Image Text:Two rectangular pyramids are similar with a linear scale factor of 2. 1. What are possible base measures and heights of the two pyramids such that the ratio of the lengths is equal to the linear scale factor? Provide the following measurements of the pyramids: length and width of base and height of pyramid. 2. Find the volumes of the pyramids from question one. 3. Show that the volumes of the pyramids have a scale factor of the linear scale factor cubed.
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