Carson needs to build a closed container out of sheet metal, but needs to minimize the amount of sheet metal used. The volume of
1 answer:
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.
<h3>How to find the volume of a right rectangular prism?</h3>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:
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
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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Answer: Choice A) 15 feet
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x = length of fourth side in quadrilateral ABCD
Have a look at the attached image I've posted. I made a chart that lines up the side lengths from largest to smallest. Note how the first two items in the bottom row are blank. We don't know these values and we don't need to find out in order to find x.
Based on the last two columns of that table, we can form the proportion below, which is then used to isolate x.
30/12 = x/6
30*6 = 12*x ... cross multiply
180 = 12*x
12*x = 180
x = 180/12 ... divide both sides by 12
x = 15
