Container K and L are identical containers with the same base area and height. Container K is filled to the brim with water while Container L is empty. After 285 cm³ of water from Container K is poured into Container L, the depth of water in Container L is ¹₅ the depth of water in Container K. If the height of Container L is 38 cm, what is the base area of Container L?
The depth of water is proportional to the volume of water.

After water from Container K is poured into Container L:

Volume of water in Container K : Volume of water in Container L
 5 : 1

1 u = 285

Total volume of Container L
= 5 u + 1 u
= 6 u
= 6 x 285
= 1710 cm³

Base area of Container L
= 1710 ÷ 38
= 45 cm²

Answer(s): 45 cm²