An Open Box Is To Be Made From A Square Piece Of Sheet Metal By Removing A Square Of Side 3 Inches From Each Corner And Turning Up The Edges. If The Volume Of The Box Is To Be 867 Cubic Inches, What Is The Length Of The Sides Of The Square Of The She?
The depth of the box will be 3 inches, so the area of the bottom after folding will be
867/3 in^2 = 289 in^2
Each of the folded edges will be √289 in = 17 in.
The original sheet metal piece was 17 in + 6 in = 23 in square.
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