SOLUTION: you are given a piece of cardboard that is 6 inches by 4 inches. You would like to cut equal-sized squares out of each of the 4 corners and fold the card board in such a way to mak

Question 1098258: you are given a piece of cardboard that is 6 inches by 4 inches. You would like to cut equal-sized squares out of each of the 4 corners and fold the card board in such a way to make an open-top rectangular box.
(") means INCHES
Part A: Complete the table below.
Length of Square Cut Length of Box(") Width of Box(") Volume of Box (")
I (")
0.25
0.50
0.90
1.40
1.80
Part B:
1. What are the Possible values of I?
2. What is the dependent and independent variable?
3. Using I and V, find a cubic function of best fit.
4. To maximize the volume of the box, what should be the side length of the corner squares?

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
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... piece of cardboard that is 6 inches by 4 inches. You would like to cut equal-sized squares out of each of the 4 corners and fold the card board in such a way to make an open-top rectangular box.
...
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Volume versus edge length of square removed:

You can simplify the equation if you want or keep it in the factored form. Choose your x values and evaluate each corresponding v value.
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