You want to make a rectangular box, open at the top, by cutting the same size square corners out of a rectangular sheet of cardboard and then folding up the sides. The cardboard measures 10 in. by 12 in. What are the dimensions of the box that will have greatest volume if the possible corner cuts measure 1 in., 2 in., 3 in., or 4 in.?
a.
8 in. by 10 in. by 2 in.
c.
4 in. by 6 in. by 3 in.
b.
9 in. by 11 in. by 1 in.
d.
6 in. by 8 in. by 2 in.

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- anonymous

These are hard to understand, someone please help /.\

- Rhystic

so it would be easiest to understand if you draw it out.:

- anonymous

Okay, && how so?

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## More answers

- Rhystic

|dw:1433953466310:dw|

- Rhystic

so for 1" you would have a height of 1" plus a length of 10" and a width of 8" giving a volume of 80 cubic inches. if you did this with 2" corners you would have a length of 8" width of 6" and a height of 2" giving a volume of 96 cubic inches do this the same way for the other values and find the greatest volume. Did that make sense? Volume = length*width*height

- Rhystic

you need to do the drawings rather then multiply the answers out because two of the answers would not create the dimensions by the cut corners. Only two of those answers could work and then you need to find out of those two which create the largest volume.

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