We want to construct a box whose base length is three times the base width. The material used$6and the material used to build the sides cost-ft2$10If the boxft2to build the top and bottom costmust have a volume of 50 ft3, determine the dimensions that will minimize the cost to build the box.

Here we want to construct a box whose base length is three times the base width. The material used…

Answered: We want to construct a box whose base…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 31A: A zinc casting is in the shape of a frustum of a right circular cone. The larger base area is 280...

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A zinc casting is in the shape of a frustum of a right circular cone. The larger base area is 280 inches in diameter and the smaller base area is 2.30 inches in diameter. The height is 3.50 inches. Round the answers for a and b to 1 decimal point. a. Compute the volume of the casting. b. Determine the weight of the casting. Zinc weighs 0.256 pound per cubic inch.

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We want to construct a box whose base length is three times the base width. The material used to build the top and bottom cost $6 and the material used to build the sides cost $10 the box ft2 ft2 must have a volume of 50 ft3, determine the dimensions that will minimize the cost to build the box.