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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
, is the equation
Graph this to find max volume
max volume occurs when x = 2.9 and is very close to 385 cu/cm