A rectangle paper with length 8cm is folded into half and the ratio of its length to its width remains unchanged If the square of the width of the original piece of paper is xcm2 Find the volume of x?

Well, darling, if the length of the rectangle paper is 8cm and it's folded in half, that means the width is now 8cm as well. Since the ratio of length to width remains the same, the original width must have been 4cm. So, the square of the original width (4cm) is 16cm^2. Therefore, the volume of x is 16 cubic centimeters. Voilà!