Triangular prism ABC-a1b1c1volume = height x base area = 8X 1/2x3x3 and root number 3/2 = 18 and root number 3.

Prism ade-a1d1e1volume = 8X 1/4x 1/2x3x3 and root number 3/2 = 9 and root number 3/2.

Prism BCB1c1-ded1e1volume = 18 and root numbers 3-9 and 3/2 = 27 and 3/2.

Set the liquid level to high h, and then

H=(27 3/2) divided by (1/2X3X3 3/2)=6.

Answer: The liquid level is 6.