Solved: A box with an open top is to be constructed from a

Chapter 1, Problem 63E

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QUESTION:

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions \(14 \text { in. by } 22 \text { in. }\) by  cutting out equal squares of side  \(x\) at each corner and then folding up the sides as in the figure. Express the volume  \(V\) of the box as a function of  \(x\).

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QUESTION:

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions \(14 \text { in. by } 22 \text { in. }\) by  cutting out equal squares of side  \(x\) at each corner and then folding up the sides as in the figure. Express the volume  \(V\) of the box as a function of  \(x\).

ANSWER:

Solution:-

Step 1 of 2

Given that

We have to express the volume  of the box as a function of .

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