SOLUTION: A rectangular sheet of metal measures 6 cm by 8 cm. Four equal squares are cut from the corners off the sheet and the remaining metal is bent to form a rectangular tray. If the sid

Algebra ->  Equations -> SOLUTION: A rectangular sheet of metal measures 6 cm by 8 cm. Four equal squares are cut from the corners off the sheet and the remaining metal is bent to form a rectangular tray. If the sid      Log On


   



Question 1130268: A rectangular sheet of metal measures 6 cm by 8 cm. Four equal squares are cut from the corners off the sheet and the remaining metal is bent to form a rectangular tray. If the side of each square is x cm, that show the volume of the tray is given by V = 4x^3 - 28x^2 + 48x
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Volume is = length*width*height; the height is x
width is 6-2x, one x from each corner
length is 8-2x
volume is (6-2x)(8-2x)x
that is 4x^2-12x-16x+48 all multiplied by x
V=4x^3-28x^2+48x