In the diagram not drawn to scale, Tank V and Tank W each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank V measures 122 cm by 58 cm by 139 cm. Tank W measures 52 cm by 25 cm by 69 cm. Tank X is 60 cm by 25 cm by 20 cm. Both holes are located at a height of 12 cm from the top of their respective containers. When Tank V is completely filled with water and both buttons are pressed, what will be the final water level in Tank X?
Volume of Tank V to pour into Tank W
= 122 x 58 x 12
= 84912 cm³

Volume of the Tank W that can be filled before overflow
= 52 x 25 x (69 - 12)
= 74100 cm³ 

Volume of water in Tank X
= 84912 - 74100
= 10812 cm³ 

Base area of Tank X
= 60 x 25
= 1500 cm² 

Final height of Tank X
= 10812 ÷ 1500
= 7.208 cm

Answer(s): 7.208 cm