7 identical 10-cm cubes are placed in an empty rectangular container of length 71 cm and width 24 cm. The container is then filled with water from a tap flowing at a rate of 9 litres per minute. It takes 12 minutes to fill up ⁴₅ 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 7 cubes
= 7 x 1000
= 7000 cm³ 

1 ℓ = 1000 mℓ
9 ℓ = 9000 mℓ

Volume of water in the container
= 12 x 9000
= 108000 mℓ

Volume of ⁴₅ of the container
= 108000 + 7000
= 115000 mℓ

Volume of the container
= 115000 ÷ ⁴₅
= 115000 x ⁵₄
= 143750 mℓ

Base area
= 71 x 24
= 1704 cm² 

Height of the container
= 143750 ÷ 1704
≈ 84.4 cm

Answer(s): 84.4 cm