Question

Carson needs to build a closed container out of sheet metal, but needs to minimize the amount of sheet metal used. The volume of Carson's container needs to be approximately 320 cubic Inches. Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal. Which design should Carson choose? A. Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in. B. Rectangular prism with dimensions of 10 in., 8 in., and 4 in. C. Cylinder with a radius of 5 in. and height of 5 in. D. Square pyramid with a base length of 10 in., height of 10 in, and slant height of approximately 14 in.​

Answer 1

Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

$V = a\times b \times c \: \: unit^3$

Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.

The volume of Carson's container needs to be approximately 320 cubic Inches.

Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.

If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.

Then the volume would be

$V = 8 \times 8 \times 5\\\\V = 320$

This satisfies the given volume so it could be the correct answer.

Learn more about the volume of a right rectangular prism here:

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