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23 October, 23:53

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 create an open box. Express the volume V of the box as a function in terms of x.

V (x) =

+4
Answers (1)
  1. 24 October, 01:10
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    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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