Explanation Formula used: The volume of the rectangular box is V = w h l , where w is width, h is height and l is length. Calculation: Let the width of the rectangular box is w . The length of a rectangular box is 3 cm longer than its width. That is, length is w + 3 . The volume as a function of width is f ( w ) = 2 w 3 + 5 w 2 − 3 w . In order to find the height of the box divide the volume V by width w and length l . h = V w ⋅ l = 2 w 3 + 5 w 2 − 3 w w ( w + 3 ) = 2 w 2 + 5 w − 3 ( w + 3 ) Now, obtain the height by dividing 2 w 2 + 5 w − 3 by w + 3 as follows

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Chapter 15.1, Problem 56E

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To find: The height of the rectangular box, when the length of a rectangular box is 3 cm longer than its width and the volume as a function of width is f(w)=2w3+5w2−3w.

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Chapter 15.1, Problem 55E

Chapter 15.1, Problem 57E

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The height of the rectangular box, when the length of a rectangular box is 3 cm longer than its width and the volume as a function of width is f ( w ) = 2 w 3 + 5 w 2 − 3 w .

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To find: The height of the rectangular box, when the length of a rectangular box is 3 cm longer than its width and the volume as a function of width is f(w)=2w3+5w2−3w.

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Chapter 15 Solutions