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 130 cm by 51 cm by 130 cm. Tank G measures 55 cm by 21 cm by 70 cm. Tank H is 69 cm by 25 cm by 21 cm. Both holes are located at a height of 13 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
= 130 x 51 x 13
= 86190 cm³

Volume of the Tank G that can be filled before overflow
= 55 x 21 x (70 - 13)
= 65835 cm³ 

Volume of water in Tank H
= 86190 - 65835
= 20355 cm³ 

Base area of Tank H
= 69 x 25
= 1725 cm² 

Final height of Tank H
= 20355 ÷ 1725
= 11.8 cm

Answer(s): 11.8 cm