In the diagram not drawn to scale, Tank L and Tank M each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank L measures 120 cm by 52 cm by 129 cm. Tank M measures 59 cm by 26 cm by 51 cm. Tank N is 65 cm by 22 cm by 25 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank L is completely filled with water and both buttons are pressed, what will be the final water level in Tank N?
Volume of Tank L to pour into Tank M
= 120 x 52 x 14
= 87360 cm³

Volume of the Tank M that can be filled before overflow
= 59 x 26 x (51 - 14)
= 56758 cm³ 

Volume of water in Tank N
= 87360 - 56758
= 30602 cm³ 

Base area of Tank N
= 65 x 22
= 1430 cm² 

Final height of Tank N
= 30602 ÷ 1430
= 21.4 cm

Answer(s): 21.4 cm