# SOLUTION: A rectangular box without lid is to be made from a square cardboard area of 300 cm squared by cutting equal squares from each corner and then folding up the sides What is the maxim

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 Click here to see ALL problems on Geometry Word Problems Question 604250: A rectangular box without lid is to be made from a square cardboard area of 300 cm squared by cutting equal squares from each corner and then folding up the sides What is the maximum volume?Answer by ankor@dixie-net.com(15650)   (Show Source): You can put this solution on YOUR website!A rectangular box without lid is to be made from a square cardboard area of 300 cm squared by cutting equal squares from each corner and then folding up the sides What is the maximum volume? : A side of a square piece of cardboard: = 17.32 cm, also means the base of the box will be square let x = length of the side of the squares removed from the 4 corners Dimension of the box; (17.32 - 2x) by (17.32 - 2x) by x : Vol = (17.32 - 2x)*(17.32 - 2x)*x FOIL V = * x V = , is the equation : Graph this to find max volume : max volume occurs when x = 2.9 and is very close to 385 cu/cm