Container U and V are identical containers with the same base area and height. Container U is filled to the brim with water while Container V is empty. After 256 cm³ of water from Container U is poured into Container V, the depth of water in Container V is ¹₂ the depth of water in Container U. If the height of Container V is 32 cm, what is the base area of Container V?
The depth of water is proportional to the volume of water.

After water from Container U is poured into Container V:

Volume of water in Container U : Volume of water in Container V
 2 : 1

1 u = 256

Total volume of Container V
= 2 u + 1 u
= 3 u
= 3 x 256
= 768 cm³

Base area of Container V
= 768 ÷ 32
= 24 cm²

Answer(s): 24 cm²