9 identical 2-cm cubes are placed in an empty rectangular tank of length 89 cm and width 29 cm. The tank is then filled with water from a tap flowing at a rate of 10 litres per minute. It takes 12 minutes to fill up ¹₄ of the tank. What is the height of the tank? Correct your answer to 1 decimal place.
Volume of 1 cube
= 2 x 2 x 2
= 8 cm³ 

Volume of 9 cubes
= 9 x 8
= 72 cm³ 

1 ℓ = 1000 mℓ
10 ℓ = 10000 mℓ

Volume of water in the tank
= 12 x 10000
= 120000 mℓ

Volume of ¹₄ of the tank
= 120000 + 72
= 120072 mℓ

Volume of the tank
= 120072 ÷ ¹₄
= 120072 x ⁴₁
= 480288 mℓ

Base area
= 89 x 29
= 2581 cm² 

Height of the tank
= 480288 ÷ 2581
≈ 186.1 cm

Answer(s): 186.1 cm