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 126 cm by 51 cm by 144 cm. Tank Y measures 53 cm by 26 cm by 66 cm. Tank Z is 64 cm by 24 cm by 29 cm. Both holes are located at a height of 15 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
= 126 x 51 x 15
= 96390 cm³

Volume of the Tank Y that can be filled before overflow
= 53 x 26 x (66 - 15)
= 70278 cm³ 

Volume of water in Tank Z
= 96390 - 70278
= 26112 cm³ 

Base area of Tank Z
= 64 x 24
= 1536 cm² 

Final height of Tank Z
= 26112 ÷ 1536
= 17 cm

Answer(s): 17 cm