In the diagram not drawn to scale, Tank D and Tank E each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank D measures 126 cm by 48 cm by 124 cm. Tank E measures 56 cm by 21 cm by 66 cm. Tank F is 64 cm by 30 cm by 24 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank D is completely filled with water and both buttons are pressed, what will be the final water level in Tank F?
Volume of Tank D to pour into Tank E
= 126 x 48 x 14
= 84672 cm³

Volume of the Tank E that can be filled before overflow
= 56 x 21 x (66 - 14)
= 61152 cm³ 

Volume of water in Tank F
= 84672 - 61152
= 23520 cm³ 

Base area of Tank F
= 64 x 30
= 1920 cm² 

Final height of Tank F
= 23520 ÷ 1920
= 12.25 cm

Answer(s): 12.25 cm