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sophiamoser
20.08.2019 •
Mathematics
What is the volume of a box that can be created from a sheet of metal that measures 12 inches by 30 inches assume there is no top to the box
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Ответ:
Step-by-step explanation:
Given that metal sheet is available with dimensions 12x30 inches.
Let x be the side of the square cut from all the four sides so that they can be folded to make open box.
The dimensions of the box would be 12-2x, 30-2x and x
Volume = V(x) =![(12-2x)(30-2x)x\\=(360-84x+4x^2)x\\](/tpl/images/0180/6362/81f04.png)
x can take only values upto 6 since at 6 the length =0
Let x =5
Then volume = 5(20)(2) =200 square inches.
Ответ: