In the diagram not drawn to scale, Tank S and Tank T each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank S measures 132 cm by 42 cm by 137 cm. Tank T measures 53 cm by 21 cm by 59 cm. Tank U is 60 cm by 28 cm by 22 cm. Both holes are located at a height of 15 cm from the top of their respective containers. When Tank S is completely filled with water and both buttons are pressed, what will be the final water level in Tank U?
Volume of Tank S to pour into Tank T
= 132 x 42 x 15
= 83160 cm³

Volume of the Tank T that can be filled before overflow
= 53 x 21 x (59 - 15)
= 48972 cm³ 

Volume of water in Tank U
= 83160 - 48972
= 34188 cm³ 

Base area of Tank U
= 60 x 28
= 1680 cm² 

Final height of Tank U
= 34188 ÷ 1680
= 20.35 cm

Answer(s): 20.35 cm