document.write( "Question 146107: what is the volume of the cube if the surface area is 36 centimeter cubed? \n" ); document.write( "
Algebra.Com's Answer #106652 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A \"cube\" means that the height, width, and length are all the same. \n" ); document.write( "Let x = measure of one side of the cube \n" ); document.write( ". \n" ); document.write( "The area of ONE face of the cube is x^2 (x squared). \n" ); document.write( "Their are 6 faces to a cube. \n" ); document.write( ". \n" ); document.write( "The problems said that the total area is 36 sq cm. \n" ); document.write( "6x^2 = 36 \n" ); document.write( "x^2 = 6 \n" ); document.write( "x = sqrt(6) \n" ); document.write( ". \n" ); document.write( "Volume of the cube is x^3. \n" ); document.write( "x^3 = sqrt(6)*sqrt(6)*sqrt(6) \n" ); document.write( "x^3 = 6*sqrt(6) \n" ); document.write( "x^3 = 14.70 cubic cm \n" ); document.write( " |