7. Maximum Volume (a) Verify that each of the rectangular solids shown in the figure has a surface area of 150 square inches. (b) Find the volume of each solid. (c) Determine the dimensions of a rectangular solid (with a square base) of maximum volume when its surface area is 150 square inches. 3.25 ulor colid with a square
7. Maximum Volume (a) Verify that each of the rectangular solids shown in the figure has a surface area of 150 square inches. (b) Find the volume of each solid. (c) Determine the dimensions of a rectangular solid (with a square base) of maximum volume when its surface area is 150 square inches. 3.25 ulor colid with a square
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 16A: A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid...
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7. Maximum Volume
(a) Verify that each of the rectangular solids shown in
the figure has a surface area of 150 square inches.
(b) Find the volume of each solid.
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8. Maximum Volume A rectangular solid with a square
base has a surface area of 337.5 square centimeters.
(a) Determine the dimensions that yield the maximum
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(b) Find the maximum volume.
9. Minimum Surface Area A rectangular solid with a
square base has a volume of 8000 cubic inches.
(a) Determine the dimensions that yield the minimum
surface area.
(b) Find the minimum surface area.
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