A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 2527 in3. How big a piece of cardboard is needed?

The size of the cardboard should be  

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

     The volume of the box is  

The length and the Width of the card is  

      L = W = Z

From the question we are told that 7 in squares were cut from each corner

So the length and the width of the box  would be  

              L = W = (Z - 7)

And the height would be  H  =  7 in

Mathematically the volume of the box can be represented as

So the Volume would be

Substituting values

=>  

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

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