Cube a to cube b is 1:3. This is a one-to-one measure. If we want volume ratios, we have to take the one-to-one ratios and cube them. Like this: [tex] \frac{1}{3} =( \frac{1}{3} ) ^{3} [/tex] which simplifies to [tex] \frac{1}{27} [/tex]. This means that the volume of the smaller object is 27 times smaller than the volume of the larger.