In the diagram not drawn to scale, Container D and Container E each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container D measures 100 cm by 75 cm by 140 cm. Container E measures 15 cm by 50 cm by 80 cm. Container F is 80 cm by 40 cm by 40 cm. Both holes are located at a height of 20 cm from the top of their respective containers. When Container D is completely filled with water and both buttons are pressed, what will be the final water level in Container F? Express your answer in mixed number.
Volume of Container D to pour into Container E
= 100 x 75 x 20
= 150000 cm³

Volume of the Container E that can be filled before overflow
= 15 x 50 x (80 - 20)
= 45000 cm³ 

Volume of water in the Container F
= 150000 - 45000
= 105000 cm³ 

Base Area of the Container F
= 80 x 40
= 3200 cm² 

Final height of the container F
= 32²⁶⁰⁰₃₂₀₀
= 32¹³₁₆ cm

Answer(s): 32¹³₁₆ cm