In the diagram not drawn to scale, Container M and Container N each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container M measures 120 cm by 45 cm by 127 cm. Container N measures 51 cm by 24 cm by 69 cm. Container P is 60 cm by 27 cm by 29 cm. Both holes are located at a height of 15 cm from the top of their respective containers. When Container M is completely filled with water and both buttons are pressed, what will be the final water level in Container P?
Volume of Container M to pour into Container N
= 120 x 45 x 15
= 81000 cm³

Volume of the Container N that can be filled before overflow
= 51 x 24 x (69 - 15)
= 66096 cm³ 

Volume of water in Container P
= 81000 - 66096
= 14904 cm³ 

Base area of Container P
= 60 x 27
= 1620 cm² 

Final height of Container P
= 14904 ÷ 1620
= 9.2 cm

Answer(s): 9.2 cm