In the diagram not drawn to scale, Tank Y and Tank Z each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank Y measures 120 cm by 57 cm by 148 cm. Tank Z measures 58 cm by 20 cm by 65 cm. Tank A is 61 cm by 30 cm by 30 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank Y is completely filled with water and both buttons are pressed, what will be the final water level in Tank A?
Volume of Tank Y to pour into Tank Z
= 120 x 57 x 14
= 95760 cm³

Volume of the Tank Z that can be filled before overflow
= 58 x 20 x (65 - 14)
= 59160 cm³ 

Volume of water in Tank A
= 95760 - 59160
= 36600 cm³ 

Base area of Tank A
= 61 x 30
= 1830 cm² 

Final height of Tank A
= 36600 ÷ 1830
= 20 cm

Answer(s): 20 cm