Question

WORTH 25 POINTS!!!!!!!!!!!!!!!

Lucy cuts 4 squares with side length x in. from the corners of a 12 in. by 18 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V of the tray in terms of x.

Answer 1

4x^3-60x^2+216x

Explanation:

Length of the tray = length of cardboard - 2 (side of the square ): 18-2x

Width of the tray = width of cardboard - 2( side of square); 12-2x

height of tray = sides of square: x

Volume of tray: x(18-2x)(12-2x) or 4x^3-60x^2+216x