9 identical 10-cm cubes are placed in an empty rectangular container of length 85 cm and width 29 cm. The container is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 9 minutes to fill up ¹₂ of the container. What is the height of the container? Correct your answer to 1 decimal place.
Volume of 1 cube
= 10 x 10 x 10
= 1000 cm³ 

Volume of 9 cubes
= 9 x 1000
= 9000 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the container
= 9 x 8000
= 72000 mℓ

Volume of ¹₂ of the container
= 72000 + 9000
= 81000 mℓ

Volume of the container
= 81000 ÷ ¹₂
= 81000 x ²₁
= 162000 mℓ

Base area
= 85 x 29
= 2465 cm² 

Height of the container
= 162000 ÷ 2465
≈ 65.7 cm

Answer(s): 65.7 cm