SOLUTION: An open-top box is to be made from a 9 inch by 3 inch piece of copper by cutting equal squares from each corner and folding up the sides. Write the volume of the box, v as a functi

Algebra ->  Volume -> SOLUTION: An open-top box is to be made from a 9 inch by 3 inch piece of copper by cutting equal squares from each corner and folding up the sides. Write the volume of the box, v as a functi      Log On


   

Question 953956: An open-top box is to be made from a 9 inch by 3 inch piece of copper by cutting equal squares from each corner and folding up the sides. Write the volume of the box, v as a function of x where v= ax^3+bx^2+cx+d
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, the side of each square cut from the rectangle piece.
Let the rectangle's starting dimensions be w=3, y=9, and the height when folding the sides will become x.

BASE Area: %28w-2x%29%28y-2x%29
Height: x
VOLUME, v=x%28w-2x%29%28y-2x%29

Perform the multiplications to find the product for the right-side member of the volume equation or function; and then substitute the given values for w and y. Simplify.