In the diagram not drawn to scale, Container X and Container Y each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container X measures 100 cm by 75 cm by 80 cm. Container Y measures 35 cm by 10 cm by 80 cm. Container Z is 70 cm by 70 cm by 40 cm. Both holes are located at a height of 10 cm from the top of their respective containers. When Container X is completely filled with water and both buttons are pressed, what will be the final water level in Container Z? Express your answer in mixed number.
Volume of Container X to pour into Container Y
= 100 x 75 x 10
= 75000 cm³

Volume of the Container Y that can be filled before overflow
= 35 x 10 x (80 - 10)
= 24500 cm³ 

Volume of water in the Container Z
= 75000 - 24500
= 50500 cm³ 

Base Area of the Container Z
= 70 x 70
= 4900 cm² 

Final height of the container Z
= 10¹⁵⁰⁰₄₉₀₀
= 10¹⁵₄₉ cm

Answer(s): 10¹⁵₄₉ cm