Question 46
From a right prism with a square base of side length $L_1$ and height $H$, remove a frustum of a pyramid, not necessarily right, whose square lower and upper bases have side lengths $L_1$ and $L_2$, respectively, and whose height is $H$. The two resulting pieces appear below.
If the frustum's volume is $2/3$ of the prism's total volume, what is $L_1/L_2$?
If the frustum's volume is $2/3$ of the prism's total volume, what is $L_1/L_2$?