In the diagram not drawn to scale, Container T and Container U each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container T measures 122 cm by 42 cm by 139 cm. Container U measures 52 cm by 27 cm by 55 cm. Container V is 69 cm by 24 cm by 25 cm. Both holes are located at a height of 15 cm from the top of their respective containers. When Container T is completely filled with water and both buttons are pressed, what will be the final water level in Container V?
Volume of Container T to pour into Container U
= 122 x 42 x 15
= 76860 cm³

Volume of the Container U that can be filled before overflow
= 52 x 27 x (55 - 15)
= 56160 cm³ 

Volume of water in Container V
= 76860 - 56160
= 20700 cm³ 

Base area of Container V
= 69 x 24
= 1656 cm² 

Final height of Container V
= 20700 ÷ 1656
= 12.5 cm

Answer(s): 12.5 cm