document.write( "Question 574763: What is the volume of a cube if the are is 169 sq in? (in the book, the area is only given) \n" ); document.write( "
Algebra.Com's Answer #369271 by nerdybill(7384) You can put this solution on YOUR website! What is the volume of a cube if the are is 169 sq in? (in the book, the area is only given) \n" ); document.write( ". \n" ); document.write( "We know that the length of all edges of a cube is the same AND that it has 6 sides (faces). \n" ); document.write( "Because it has 6 sides, the area of EACH side (face) of the cube MUST be: \n" ); document.write( "169/6 = 28.1667 sq inch \n" ); document.write( ". \n" ); document.write( "Let x = length of one side of cube \n" ); document.write( "then \n" ); document.write( "x^2 = 28.1667 \n" ); document.write( "x = sqrt(28.1667) \n" ); document.write( "x = 5.3072 inches \n" ); document.write( ". \n" ); document.write( "Volume is: \n" ); document.write( "x^3 = 5.3072^3 = 149.487 cubic inches \n" ); document.write( " \n" ); document.write( " |