SOLUTION: A box is to be removing four identical squares (with side length X) from each corner of a retangular piece of card then folding up the resulting flaps. If the piece of card is 40cm

Question 498879: A box is to be removing four identical squares (with side length X) from each corner of a retangular piece of card then folding up the resulting flaps. If the piece of card is 40cm by 30cm write down a fundtion for the volume of the resulting box in terms of X. What sort of funtion is it ( quadratic, Rational, cubic or...). What is the domain of this funtion?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
After removing the corner squares of side x, the remainder of the sides of the original rectangular cardboard will measure (40-2x) and (30-2x) and the height of the finished box will be x.
The volume of this box can be expressed as:
If you multiply these factors, you'll get:

Clearly, this is a "cubic" function.
From a practical standpoint, x cannot equal or exceed half the length of the smaller side of the original rectangle, otherwise, you could not make a box.
So x can take on values:
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