In the diagram not drawn to scale, Container H and Container J each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container H measures 100 cm by 55 cm by 90 cm. Container J measures 35 cm by 40 cm by 70 cm. Container K is 70 cm by 60 cm by 80 cm. Both holes are located at a height of 20 cm from the top of their respective containers. When Container H is completely filled with water and both buttons are pressed, what will be the final water level in Container K? Express your answer in mixed number.
Volume of Container H to pour into Container J
= 100 x 55 x 20
= 110000 cm³

Volume of the Container J that can be filled before overflow
= 35 x 40 x (70 - 20)
= 70000 cm³ 

Volume of water in the Container K
= 110000 - 70000
= 40000 cm³ 

Base Area of the Container K
= 70 x 60
= 4200 cm² 

Final height of the container K
= 9²²⁰⁰₄₂₀₀
= 9¹¹₂₁ cm

Answer(s): 9¹¹₂₁ cm