Container X and Y are identical containers with the same base area and height. Container X is filled to the brim with water while Container Y is empty. After 280 cm³ of water from Container X is poured into Container Y, the depth of water in Container Y is ¹₉ the depth of water in Container X. If the height of Container Y is 50 cm, what is the base area of Container Y?
The depth of water is proportional to the volume of water.

After water from Container X is poured into Container Y:

Volume of water in Container X : Volume of water in Container Y
 9 : 1

1 u = 280

Total volume of Container Y
= 9 u + 1 u
= 10 u
= 10 x 280
= 2800 cm³

Base area of Container Y
= 2800 ÷ 50
= 56 cm²

Answer(s): 56 cm²