document.write( "Question 564726: a box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides. the box is to hold 100 in.(cubed). how big a piece of cardboard is needed? \n" ); document.write( "
Algebra.Com's Answer #365454 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the side of the square cardboard be x\r \n" ); document.write( "\n" ); document.write( "4 in corners are to be cut\r \n" ); document.write( "\n" ); document.write( "the dimensions of base will be (x-8) \r \n" ); document.write( "\n" ); document.write( "Volume of Box = L*W*H\r \n" ); document.write( "\n" ); document.write( "100=(x-8)(x-8)*4\r \n" ); document.write( "\n" ); document.write( "/4 \n" ); document.write( "25=(x-8)^2 \n" ); document.write( "25=x^2-16x+64 \n" ); document.write( "x^2-16x+39=0\r \n" ); document.write( "\n" ); document.write( "x^2-13x-3x+39=0 \n" ); document.write( "x(x-13)-3(x-13)=0 \n" ); document.write( "(x-13(x-3)=0\r \n" ); document.write( "\n" ); document.write( "x=13 OR 3\r \n" ); document.write( "\n" ); document.write( "3 is not possible \n" ); document.write( "so 13 in is the length of side of carboard\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |