Question

Asked Mar 24, 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.

Step 1

The 24-cm by 119-cm piece of cardboard used to make an open top box by removing from each corner of the cardboard.

Consider the size of the square cut be *x*. Take the length of the box be 119–2*x*, width of the box be 24–2*x* and the height of the box be *x*.

Step 2

Obtain the volume of the box as follows.

Step 3

Obtain the derivative of the above obtained volume and se...

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