Explanation Given information: An open box with a square base is to be built for $48. The sides of the box will cost $3/ft 2 and the base will cost$4/ft 2 . Calculation: Let the length of the side of the square base be x and height of the box be y .The volume of the box can be given as, V = length × breadth × height = x 2 y Also the area of the base will be x * x = x 2 And the area of all the four sides will be equal and equal to x * y = x y Let the side length of the base of the open box is x and height is y . Since the surface are of the box given by, S = x 2 + 4 x y Since cost of base is $4 and cost of sides is $3, then the total cost given by S = x 2 + 4 x y

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 1, Problem 84SP

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To calculate:The volume of the box as a function of the length of its base.

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Chapter 1, Problem 83SP

Chapter 1, Problem 85SP

Chapter 1 Solutions

Calculus

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The volume of the box as a function of the length of its base.

Solution Summary: The author calculates the volume of an open box as a function of the length of its base.

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To calculate:The volume of the box as a function of the length of its base.

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Chapter 1 Solutions