Corollary: Cor. 11.33: Volumes of Similar Parallelepipeds are in Triplicate Ratio to Length of Corresponding Sides

(Corollary to Proposition 33 from Book 11 of Euclid's “Elements”)

So, (it is) clear, from this, that if four straight lines are in (continued) proportion then as the first is to the fourth, so the parallelepipedal solid on the first will be to the similar, and similarly described, parallelepipedal solid on the second, since the first also has to the fourth the cubed ratio that (it has) to the second.