Question 206899
If I do all the paper cutting, you won't be able to see it anyway.
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The volume of the box is:
V = x*(16-2x)*(16-2x)
The function intersects the x-axis at x = 0 and x = 8.
The max is at x = 8/3, and the max volume is:
V = (8/3)*(32/3)*(32/3)
Vmax = 8192/27 cubic units =~ 303.4 cubic units
Since the units are 1/2", that's 1024/27 cubic inches = ~37.926 cubic inches
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Notice that the volume is a max when all sides are equal, ie, a regular cube.
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