document.write( "Question 1196708: The polynomial
\n" );
document.write( "4x3 − 38x2 + 90x
\n" );
document.write( " gives the volume (in cubic inches) of the resulting box when a square with sides x inches long is cut from each corner of a 9 in. × 10 in. piece of cardboard. Find the volume of a box if 2-inch squares are cut out. \n" );
document.write( "
Algebra.Com's Answer #829786 by MathTherapy(10555)![]() ![]() You can put this solution on YOUR website! The polynomial \n" ); document.write( "4x3 − 38x2 + 90x \n" ); document.write( " gives the volume (in cubic inches) of the resulting box when a square with sides x inches long is cut from each corner of a 9 in. × 10 in. piece of cardboard. Find the volume of a box if 2-inch squares are cut out. \n" ); document.write( " Length of each side of each cut-out square/Height of box: 2\"\r\n" ); document.write( "\r\n" ); document.write( "Length of cardboard before squares were cut out: 10\" \r\n" ); document.write( "Length of cardboard after squares were cut out/Length of base of box: 10 - 2(2) = 10 - 4 = 6\"\r\n" ); document.write( "\r\n" ); document.write( "Width of cardboard before squares were cut out: 9\" \r\n" ); document.write( "Width of cardboard after squares were cut out/Width of box: 9 - 2(2) = 9 - 4 = 5\"\r\n" ); document.write( "\r\n" ); document.write( "Volume of box formed after squares were cut out from cardboard: LWH = 6(5)(2) = 60 cubic inches\r\n" ); document.write( "\r\n" ); document.write( "OR\r\n" ); document.write( "\r\n" ); document.write( "Substitute 2 for x in volume-polynomial: 4x3 − 38x2 + 90x.\n" ); document.write( " |