The figure is not drawn to scale. Container V and Container W have base areas of 3500 cm² and 1500 cm² respectively. Water was poured into an empty rectangular Container V until it reached a height of 37 cm. Some of the water was then poured from Container V into Container W which contained 1.1 ℓ of water until the height of the water in both containers were the same.

1. Find the new height of the water in Container V.
2. How many litres of water were poured into Container W?

(a)
Volume of water in Container V
= 3500 x 37
= 129500 cm³ (Base area x height)

1 ℓ = 1000 cm³ 
1.1 ℓ = 1100 cm³ 

Total volume of Container V and Container W 
= 129500 + 1100
= 130600 cm³ 

Total base area of Container V and Container W 
= 3500 + 1500
= 5000 cm²

Height of Container V after
= 130600 ÷ 5000
= 26.12 cm

(b)
Volume of water in Container W after pouring
= 1500 x 26.12
= 39180 cm³ 

Volume of water poured into Container W
= 39180 - 1500
= 37680 cm³ 

37680 mℓ = 37.68 ℓ

Answer(s): (a) 26.12 cm; (b) 37.68 ℓ