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20 Jun 2022, 02:35
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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The thin rectangular sheet of metal shown in the figure is 8 inches wide and x inches long. An open box is to be made by cutting a 2-inch square from each corner of the sheet of metal and then folding up the sides. If the volume of the box is to be 48 cubic inches, what is the value of x?
A. 6
B. 8
C. 10
D. 12
E. 14
Are You Up For the Challenge: 700 Level Questions
Attachment:
1.png [ 10.21 KiB | Viewed 3092 times ]
20 Jun 2022, 05:30
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the volume of the box = (8-4)(x-4)*2=48
=> x-4=6
=> x=10
The answer is (C).
=> x-4=6
=> x=10
The answer is (C).
20 Jun 2022, 06:57
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Bunuel
The thin rectangular sheet of metal shown in the figure is 8 inches wide and x inches long. An open box is to be made by cutting a 2-inch square from each corner of the sheet of metal and then folding up the sides. If the volume of the box is to be 48 cubic inches, what is the value of x?
A. 6
B. 8
C. 10
D. 12
E. 14
Are You Up For the Challenge: 700 Level Questions
Attachment:
1.png
The box is going to be 2 inches deep, so we need the area of the bottom to be 24 inches. We are given that one edge of the bottom will be 8-2-2=4 inches, so the other must be 6 inches. X=6+2+2=10.
Answer choice C.
