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Fiesta28 [93]
3 years ago
11

A square has sides of 16 units. Squares x + 1 by x + 1 units are cut out of each corner, and then the sides are folded up to cre

ate an open box. Express the volume V of the box as a function in terms of x.
V(x)=
Mathematics
1 answer:
AysviL [449]3 years ago
8 0

A distance of (x+1) is cut in from both sides, so the base dimensions are

... 16 -2(x+1) = 14-2x

The depth of the fold is (x+1), so that is the depth of the box.

The volume is ...

... V(x) = (x+1)(14 -2x)²

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