Container Z and A are identical containers with the same base area and height. Container Z is filled to the brim with water while Container A is empty. After 247 cm³ of water from Container Z is poured into Container A, the depth of water in Container A is ¹₅ the depth of water in Container Z. If the height of Container A is 26 cm, what is the base area of Container A?
The depth of water is proportional to the volume of water.

After water from Container Z is poured into Container A:

Volume of water in Container Z : Volume of water in Container A
 5 : 1

1 u = 247

Total volume of Container A
= 5 u + 1 u
= 6 u
= 6 x 247
= 1482 cm³

Base area of Container A
= 1482 ÷ 26
= 57 cm²

Answer(s): 57 cm²