Find the most economical proportions for a covered boxof fixed volume whose base is a rectangle with one sidethree times as long as the other.Select the correct response:The altitude is 2/3 times shorter than the side ofbase.The altitude is 2 times shorter than the side of base.The altitude is 3 times shorter than the side of base.The altitude is 3/2 times shorter than the side ofbase.

Answered: Image /qna-images/answer/b9e716dd-51b6-4940-8d16-852076f74f13.jpg

Answered: Find the most economical proportions…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 41AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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Similar questions

The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
A seamless brass tube and brass flange assembly is shown. The tube is pressed fit into the full 1.250-inch plate thickness. The brass used weighs 0.305 pound per cubic inch. Find the total weight of the assembly. Round the answer to the nearest tenth pound.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
Find the volume of a steel shaft that is 18.64 cm long and has a radius of 1.75 cm. Round your answer to 2 decimal places.
A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.
A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.

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