9) The dimensions of a gift box are consecutive positive integers such that the height is the least integer and the length is the greater integer. If the height is increased by 1 cm, the width by 2 cm and the length is increased by 3 cm, then the larger box is constructed such that the volume is increased by 693 cm. Determine the dimensions of each box.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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9) The dimensions of a gift box are consecutive positive
integers such that the height is the least integer and the length is
the greater integer. If the height is increased by 1 cm, the width
by 2 cm and the length is increased by 3 cm, then the larger box
is constructed such that the volume is increased by 693 cm.
Determine the dimensions of each box.
Transcribed Image Text:9) The dimensions of a gift box are consecutive positive integers such that the height is the least integer and the length is the greater integer. If the height is increased by 1 cm, the width by 2 cm and the length is increased by 3 cm, then the larger box is constructed such that the volume is increased by 693 cm. Determine the dimensions of each box.
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