document.write( "Question 1163120: What number represents the volume of a cube in cubic centimetres that is
\n" );
document.write( "numerically double the surface area in square centimetres of the same cube?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #787100 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "If s is the length of an edge, then\r\n" ); document.write( "\r\n" ); document.write( "the surface area of the cube = 6s² square centimeters, and\r\n" ); document.write( "\r\n" ); document.write( "the volume of the cube = s³ cubic centimeters.\r\n" ); document.write( "\r\n" ); document.write( "The number of cubic centimeters in the volume of the cube is equal to twice\r\n" ); document.write( "the number of square centimeters in its surface area, so:\r\n" ); document.write( "\r\n" ); document.write( " s³ = 2∙6s²\r\n" ); document.write( " s³ = 12s²\r\n" ); document.write( " s³ - 12s² = 0\r\n" ); document.write( " s²(s - 12) = 0\r\n" ); document.write( "\r\n" ); document.write( "s² = 0; s - 12 = 0\r\n" ); document.write( " s = 0 s = 12\r\n" ); document.write( "\r\n" ); document.write( "We ignore the humorous answer, s = 0 (which says that a cube reduced to a\r\n" ); document.write( "point has 0 volume and 0 surface area, and 0 is indeed twice 0, lol).\r\n" ); document.write( "\r\n" ); document.write( "Now seriously, a cube that has each edge measuring 12 centimeters has \r\n" ); document.write( "12³ = 1728 cubic centimeters of volume and 6∙12² = 864 square centimeters of\r\n" ); document.write( "surface area. Sure enough, 1728 is twice 864.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 1728\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |