In the diagram not drawn to scale, Container Y and Container Z each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container Y measures 136 cm by 43 cm by 137 cm. Container Z measures 55 cm by 26 cm by 54 cm. Container A is 60 cm by 30 cm by 22 cm. Both holes are located at a height of 15 cm from the top of their respective containers. When Container Y is completely filled with water and both buttons are pressed, what will be the final water level in Container A?
Volume of Container Y to pour into Container Z
= 136 x 43 x 15
= 87720 cm³

Volume of the Container Z that can be filled before overflow
= 55 x 26 x (54 - 15)
= 55770 cm³ 

Volume of water in Container A
= 87720 - 55770
= 31950 cm³ 

Base area of Container A
= 60 x 30
= 1800 cm² 

Final height of Container A
= 31950 ÷ 1800
= 17.75 cm

Answer(s): 17.75 cm