Explanation Given information: The length of the box is 2 more than width and height is 1 less than length. Formula used: The volume of cuboid is given by the formula V = l × w × h Where w is the width, h is the height and l is the length. The distributive rule, for any arbitrary numbers a, b, and c is a ( b + c ) = a ⋅ b + a ⋅ c . The product rule for any arbitrary number x and positive integers p and q is: x p ⋅ x q = x p + q Calculation: Consider the box, whose length is 2 more than width and height is 1 less than length. Assume l denote the length, w is width and h height of the box. Express the width and height of the box in terms of the length l . As, length is 2 more than width and height is 1 less than length Here the word “is” stands for = sign Mathematically this can be expressed as: l = 2 + w w = l − 2 As, height is 1 less than length Mathematically this can be expressed as~, h = l − 1 Recall that volume of cuboid is given by the formula V = l × w × h Where w is the width, h is the height and l is the length. Here, w = l − 2 , h = l − 1 and l = l Substitute l − 2 for w , l − 1 for h in V = l × w × h V = l × ( l − 2 ) ×

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

7th Edition

ISBN: 9780134462707

Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Publisher: PEARSON

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Chapter 4, Problem 43T

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To calculate: The volume of a box in the form of length, whose length is 2 more than width and height is 1 less than length.

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Chapter 4, Problem 42T

Chapter 4, Problem 44T

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Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

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The volume of a box in the form of length, whose length is 2 more than width and height is 1 less than length.

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To calculate: The volume of a box in the form of length, whose length is 2 more than width and height is 1 less than length.

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Chapter 4 Solutions