document.write( "Question 332196: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 5547 in^3. How big a piece of cardboard is needed? \n" ); document.write( "
Algebra.Com's Answer #238109 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A box with a square base and no top is to be made from a square piece of \n" ); document.write( "carboard by cutting 3 in. squares from each corner and folding up the sides. \n" ); document.write( " The box is to hold 5547 in^3. How big a piece of cardboard is needed? \n" ); document.write( ": \n" ); document.write( "Let s = one side of the square piece of cardboard required \n" ); document.write( "then \n" ); document.write( "(s-6) = side of the base of the square box, (height will be 3\") \n" ); document.write( ": \n" ); document.write( "Height * area of the base = the volume \n" ); document.write( "3(s-6)^2 = 5547 \n" ); document.write( "(s-6)^2 = \n" ); document.write( "(s - 6)^2 = 1849 \n" ); document.write( "Find the square root of both sides \n" ); document.write( "s - 6 = \n" ); document.write( "s - 6 = 43 \n" ); document.write( "s = 43 + 6 \n" ); document.write( "s = 49\" square piece of cardboard required. \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "43^2 * 3 = 5547\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |