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) =

Question

Ainsley Townsend

Mathematics

6 June, 03:16

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) =

+2

Answers (1)

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Tiara Mosley · Answer 1

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

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) =

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) =