In the diagram not drawn to scale, Container D and Container E each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container D measures 126 cm by 59 cm by 140 cm. Container E measures 56 cm by 20 cm by 54 cm. Container F is 60 cm by 20 cm by 26 cm. Both holes are located at a height of 12 cm from the top of their respective containers. When Container D is completely filled with water and both buttons are pressed, what will be the final water level in Container F?
Volume of Container D to pour into Container E
= 126 x 59 x 12
= 89208 cm³

Volume of the Container E that can be filled before overflow
= 56 x 20 x (54 - 12)
= 47040 cm³ 

Volume of water in Container F
= 89208 - 47040
= 42168 cm³ 

Base area of Container F
= 60 x 20
= 1200 cm² 

Final height of Container F
= 42168 ÷ 1200
= 35.14 cm

Answer(s): 35.14 cm