SOLUTION: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides
A)Suppose the paper is 5"-wide by 7"-long.
I)What is the maximum volume for
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Question 1126376: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides
A)Suppose the paper is 5"-wide by 7"-long.
I)What is the maximum volume for the box?
ii)What is the maximum volume for the box?
B)Suppose we instead create the box from a 7"-wide by 9"-long sheet of paper.
I)What is the maximum volume for this box?
ii)What cutout length produces the maximum volume?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
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A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides
A)Suppose the paper is 5"-wide by 7"-long.
I)What is the maximum volume for the box?
ii)What is the maximum volume for the box?
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v, volume
x, length of square to remove at each corner
,...
...
Extreme values:
Using quadratic formula solution, x for extreme values for v may be
x at .
One of these may work and the other one may not work.
.
.
The PLUS form is no good.
The MINUS form should work, for .
Find v at x=1.264.
Max v, .
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