A gift box that is 5 in. long by 5 in. wide by 9 in. high holds 4 pounds of nuts. How many pounds of nuts will fit into a similarly shaped box that is 6 in. high? The scale factor is 6: 9 or 2:3. The ratio of the volumes is 23 : 33 or 8 : 27. Let x the number of pounds the new box will hold. %3D 8. %3D 27 4 8x = 108 x = 13.5 It will hold 13.5 pounds.

A gift box that is 5 in. long by 5 in. wide by 9 in. high holds 4 pounds of nuts. How many pounds of nuts will fit into a similarly shaped box that is 6 in. high? The scale factor is 6: 9 or 2:3. The ratio of the volumes is 23 : 33 or 8 : 27. Let x the number of pounds the new box will hold. %3D 8. %3D 27 4 8x = 108 x = 13.5 It will hold 13.5 pounds.

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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Question

Identify the error(s) in planning the solution or solving the problem. The write the correct solution.

A gift box that is 5 in. long by 5 in. wide by 9 in. high holds 4 pounds of nuts.
How many pounds of nuts will fit into a similarly shaped box that is 6 in.
high?
The scale factor is 6 : 9 or 2:3.
The ratio of the volumes is 23 : 33 or 8: 27.
Let x
the number of pounds the new box will hold.
4
27
8
8x = 108
X = 13.5
It will hold 13.5 pounds.

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