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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 58POT
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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.
Transcribed Image Text: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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