If the radius of cylinder bottom is r, the area of cylinder bottom is π r^2, and the area of triangular prism bottom is 3 √ 3/4 * r 2.

Because the height of the two columns is equal, the floor area ratio is equal to the ratio of the bottom area, that is, 3√3/4π.

So the volume of triangular prism is 3 √ 3/4 π V.