A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of the cardboard and folding up the flaps on each side. What size square should be cut from each corner to get a box with the maximum volume? Enter the area of the square and do not include any units in your answer.

Question
Asked Apr 26, 2019
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A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of the cardboard and folding up the flaps on each side. What size square should be cut from each corner to get a box with the maximum volume? Enter the area of the square and do not include any units in your answer.

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Expert Answer

Step 1

In this question, it has been given that,

We have a cardboard sheet,

Breadth = 24

Length = 119

We need to make an open top box by removing the square from each corner of the cardboard.

We need to know what size of square we have to cut and what is the area of square.  

Step 2

Let the size of square cut is x

Dimensions of the box after making square cut,

Length = 119 – 2x

Width...

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