Explanation Given: An open rectangular box with volume 2 m 3 has a square base. Concept used: The volume of rectangular box is equal to length times width times height. The total surface area of rectangular box is 2 l h + 2 h w + 2 w l , where, l = Length, w = Width, h = Height. Calculation: Let x represent each side of square base and h represent height of the box. The volume of the box would be x ⋅ x ⋅ h = x 2 h . Now, we will equate volume with 2 cubic meters as: x 2 h = 2 h = 2 x 2 Since our given box is an open from top, so its total surface area would be area of square base plus area of 4 sides as: Surface area = x

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1.1, Problem 57E

To determine

To express:

The surface area of the box as a function of the length of a side of base.

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Chapter 1.1, Problem 56E

Chapter 1.1, Problem 58E

Chapter 1 Solutions

Biocalculus

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To express: The surface area of the box as a function of the length of a side of base.

Solution Summary: The author calculates the surface area of an open rectangular box as a function of its length, width, and height.

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To express: The surface area of the box as a function of the length of a side of base.

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Chapter 1 Solutions

To express:

The surface area of the box as a function of the length of a side of base.