The volume of a rectangular pyramid is 60 units. The width of the base is then scaled by a factor of 3, the length of the base is scaled by a factor of 2, and the height of the prism is scaled by a factor such that the resulting solid has a volume 12 times that of the original pyramid. Determine the scale factor used for the height of the pyramid.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 24A
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The volume of a rectangular pyramid is 60 units. The width of the base is
then scaled by a factor of 3, the length of the base is scaled by a factor of 2,
and the height of the prism is scaled by a factor such that the resulting solid
has a volume 12 times that of the original pyramid. Determine the scale
factor used for the height of the pyramid.
Transcribed Image Text:The volume of a rectangular pyramid is 60 units. The width of the base is then scaled by a factor of 3, the length of the base is scaled by a factor of 2, and the height of the prism is scaled by a factor such that the resulting solid has a volume 12 times that of the original pyramid. Determine the scale factor used for the height of the pyramid.
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