In the diagram not drawn to scale, Container N and Container P each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container N measures 100 cm by 55 cm by 100 cm. Container P measures 55 cm by 40 cm by 50 cm. Container Q is 50 cm by 30 cm by 40 cm. Both holes are located at a height of 20 cm from the top of their respective containers. When Container N is completely filled with water and both buttons are pressed, what will be the final water level in Container Q? Express your answer in mixed number.
Volume of Container N to pour into Container P
= 100 x 55 x 20
= 110000 cm³

Volume of the Container P that can be filled before overflow
= 55 x 40 x (50 - 20)
= 66000 cm³ 

Volume of water in the Container Q
= 110000 - 66000
= 44000 cm³ 

Base Area of the Container Q
= 50 x 30
= 1500 cm² 

Final height of the container Q
= 29⁵⁰⁰₁₅₀₀
= 29¹₃ cm

Answer(s): 29¹₃ cm