In the diagram not drawn to scale, Tank F and Tank G each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank F measures 126 cm by 42 cm by 121 cm. Tank G measures 58 cm by 21 cm by 52 cm. Tank H is 60 cm by 22 cm by 21 cm. Both holes are located at a height of 12 cm from the top of their respective containers. When Tank F is completely filled with water and both buttons are pressed, what will be the final water level in Tank H?
Volume of Tank F to pour into Tank G
= 126 x 42 x 12
= 63504 cm³

Volume of the Tank G that can be filled before overflow
= 58 x 21 x (52 - 12)
= 48720 cm³ 

Volume of water in Tank H
= 63504 - 48720
= 14784 cm³ 

Base area of Tank H
= 60 x 22
= 1320 cm² 

Final height of Tank H
= 14784 ÷ 1320
= 11.2 cm

Answer(s): 11.2 cm