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formula for volume of a box with an open top. We wish to find the dimensions of the box that minimize the amount of material used. What size sheet will produce a box having a volume of 12in3.
A Rectangular Box With A Square Base And No Top Is To Have A Volume Of 108 Cubic Cm Find The Dimensions For The Box That Will Require The Least Number Of from socratic.org
We first use the formula of the volume of a rectangular box. Squares of equal sides x are cut out of each corner then the sides are folded to make the box. I believe it is set up as C 4 area of base 3 area of one side number of sides.
The Volume of a box with a square base x by x cm and height h cm is V x2h The amount of material used is directly proportional to the surface area so we will minimize the amount of material by minimizing the surface area.
Volume of a box. The formula to calculate the volume is length l breadth b height h. Suppose you want to find out how big to make the cut-out squares in order to maximize the volume of the box. V box 20 inches 2 2 inches.
