Question 49 of chapter 30 of Schaum's calculus is:
The section of a certain solid cut by any plane perpendicular to the x axis is a square with the ends of a diagonal lying on the parabolas $y^2=4x$ and $x^2=4y$ Find its volume.
I don't have a problem integrating the cross sectional area across the x-axis. But I do not understand what this solid's cross sectional square's sides will described as.
What does the author mean by "..with the ends of a diagonal lying on the parabolas.."?
For reference the published solution is $\frac{144}{35}$.