In the diagram not drawn to scale, Tank H and Tank J each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank H measures 132 cm by 52 cm by 147 cm. Tank J measures 59 cm by 22 cm by 61 cm. Tank K is 64 cm by 30 cm by 27 cm. Both holes are located at a height of 13 cm from the top of their respective containers. When Tank H is completely filled with water and both buttons are pressed, what will be the final water level in Tank K?
Volume of Tank H to pour into Tank J
= 132 x 52 x 13
= 89232 cm³

Volume of the Tank J that can be filled before overflow
= 59 x 22 x (61 - 13)
= 62304 cm³ 

Volume of water in Tank K
= 89232 - 62304
= 26928 cm³ 

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

Final height of Tank K
= 26928 ÷ 1920
= 14.025 cm

Answer(s): 14.025 cm