A small box in the shape of a rectangular prism for packaging has a volume of 64 cubic inches. (a) For a medium box, the length, width, and height are all doubled. What is the ratio of the volume, area of the base, and sides of the boxes? Show your work. (b) For a large box, the height is double that of the small box, the length is triple, and the width is triple. How many times greater is the large box and what is its volume? Show your work.

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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A small box in the shape of a rectangular prism for packaging has a volume of 64 cubic inches.
(a) For a medium box, the length, width, and height are all doubled. What is the ratio of the volume, area
of the base, and sides of the boxes? Show your work.
(b) For a large box, the height is double that of the small box, the length is triple, and the width is triple.
How many times greater is the large box and what is its volume? Show
your
work.
Transcribed Image Text:A small box in the shape of a rectangular prism for packaging has a volume of 64 cubic inches. (a) For a medium box, the length, width, and height are all doubled. What is the ratio of the volume, area of the base, and sides of the boxes? Show your work. (b) For a large box, the height is double that of the small box, the length is triple, and the width is triple. How many times greater is the large box and what is its volume? Show your work.
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