document.write( "Question 311762: the volume of a cube is equal to the volume of the right rectangular prism and the two solids have equal heights.if the length and width of the prism are 2 inches and 32 inches , find the number of inches in a side of the cube. \n" ); document.write( "
Algebra.Com's Answer #222963 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the volume of a cube is equal to the volume of the right rectangular prism and \n" ); document.write( "the two solids have equal heights. if the length and width of the prism are 2 \n" ); document.write( "inches and 32 inches, find the number of inches in a side of the cube. \n" ); document.write( ": \n" ); document.write( "Let x = the length of the side of the cube \n" ); document.write( ": \n" ); document.write( "x^3 = 2*32*x \n" ); document.write( ": \n" ); document.write( "x^3 = 64x \n" ); document.write( ": \n" ); document.write( "x^3 - 64x = 0 \n" ); document.write( ": \n" ); document.write( "x(x^2 - 64) = 0 \n" ); document.write( ": \n" ); document.write( "x = 0 \n" ); document.write( "and \n" ); document.write( "x^2 = 64 \n" ); document.write( "x = \n" ); document.write( "x = 8 inches is the side of the cube \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check, find the volume of each \n" ); document.write( "8^3 = 2*32*8 \n" ); document.write( "512 = 512 \n" ); document.write( " \n" ); document.write( " |