In the diagram not drawn to scale, Tank X and Tank Y each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank X measures 124 cm by 58 cm by 135 cm. Tank Y measures 57 cm by 20 cm by 53 cm. Tank Z is 63 cm by 25 cm by 29 cm. Both holes are located at a height of 12 cm from the top of their respective containers. When Tank X is completely filled with water and both buttons are pressed, what will be the final water level in Tank Z?
Volume of Tank X to pour into Tank Y
= 124 x 58 x 12
= 86304 cm³

Volume of the Tank Y that can be filled before overflow
= 57 x 20 x (53 - 12)
= 46740 cm³ 

Volume of water in Tank Z
= 86304 - 46740
= 39564 cm³ 

Base area of Tank Z
= 63 x 25
= 1575 cm² 

Final height of Tank Z
= 39564 ÷ 1575
= 25.12 cm

Answer(s): 25.12 cm