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

=>  

y=mx+b is the final answer!   : )