In the diagram not drawn to scale, Tank U and Tank V each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank U measures 126 cm by 48 cm by 120 cm. Tank V measures 59 cm by 28 cm by 59 cm. Tank W is 70 cm by 30 cm by 28 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank U is completely filled with water and both buttons are pressed, what will be the final water level in Tank W?
Volume of Tank U to pour into Tank V
= 126 x 48 x 14
= 84672 cm³

Volume of the Tank V that can be filled before overflow
= 59 x 28 x (59 - 14)
= 74340 cm³ 

Volume of water in Tank W
= 84672 - 74340
= 10332 cm³ 

Base area of Tank W
= 70 x 30
= 2100 cm² 

Final height of Tank W
= 10332 ÷ 2100
= 4.92 cm

Answer(s): 4.92 cm