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31 Jan 2015, 09:21
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Attachment:
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A rectangular flat sheet of metal is to be converted into an open box. To do this, four squares with sides x must be cut off.
What value of x would yield a box with the greatest volume?
1. 5
2. 4
3. 3
4. 2
5. 1
01 Feb 2015, 19:29
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I'm looking for a shortcut here; feel free to correct me.
\(V = l*w*h\)
so\(V = x*(15-2x)*(12-2x)\)
\(A = 5*5*2 = 5^2 * 2 = 25*2\)
\(B = 4*7*4 = 2^4 *7 = 16*7\)
\(C = 3*9*6 = 3^4 *2 = 81*2\)
\(D = 2*11*8 = 2^4 *11 = 16*11\)
\(E = 1*13*10 = 130\)
From this we can see that D must be larger than B and C must be larger than A.
Finish multiplying C and D to get 162 and 176, respectfully. D is the correct answer.
\(V = l*w*h\)
so\(V = x*(15-2x)*(12-2x)\)
\(A = 5*5*2 = 5^2 * 2 = 25*2\)
\(B = 4*7*4 = 2^4 *7 = 16*7\)
\(C = 3*9*6 = 3^4 *2 = 81*2\)
\(D = 2*11*8 = 2^4 *11 = 16*11\)
\(E = 1*13*10 = 130\)
From this we can see that D must be larger than B and C must be larger than A.
Finish multiplying C and D to get 162 and 176, respectfully. D is the correct answer.
04 May 2017, 22:12
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Hi!
This seems to be an interesting question. The Only way to solve this seems to be by testing the answer choices. It would be a good question to save it for later practice. However, I dont see the usual "Add to PDF" link for this question. Can Someone help me how to do this? Bunuel or others - your thoughts please. Both on how to solve and how to "Add to PDF"?
This seems to be an interesting question. The Only way to solve this seems to be by testing the answer choices. It would be a good question to save it for later practice. However, I dont see the usual "Add to PDF" link for this question. Can Someone help me how to do this? Bunuel or others - your thoughts please. Both on how to solve and how to "Add to PDF"?
