The figure is not drawn to scale. Tank B and Tank C have base areas of 3000 cm² and 2000 cm² respectively. Water was poured into an empty rectangular Tank B until it reached a height of 43 cm. Some of the water was then poured from Tank B into Tank C which contained 1.7 ℓ of water until the height of the water in both tanks were the same.

1. Find the new height of the water in Tank B.
2. How many litres of water were poured into Tank C?

(a)
Volume of water in Tank B
= 3000 x 43
= 129000 cm³ (Base area x height)

1 ℓ = 1000 cm³ 
1.7 ℓ = 1700 cm³ 

Total volume of Tank B and Tank C 
= 129000 + 1700
= 130700 cm³ 

Total base area of Tank B and Tank C 
= 3000 + 2000
= 5000 cm²

Height of Tank B after
= 130700 ÷ 5000
= 26.14 cm

(b)
Volume of water in Tank C after pouring
= 2000 x 26.14
= 52280 cm³ 

Volume of water poured into Tank C
= 52280 - 2000
= 50280 cm³ 

50280 mℓ = 50.28 ℓ

Answer(s): (a) 26.14 cm; (b) 50.28 ℓ