8 identical 9-cm cubes are placed in an empty rectangular container of length 80 cm and width 28 cm. The container is then filled with water from a tap flowing at a rate of 9 litres per minute. It takes 14 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
= 9 x 9 x 9
= 729 cm³ 

Volume of 8 cubes
= 8 x 729
= 5832 cm³ 

1 ℓ = 1000 mℓ
9 ℓ = 9000 mℓ

Volume of water in the container
= 14 x 9000
= 126000 mℓ

Volume of ⁴₅ of the container
= 126000 + 5832
= 131832 mℓ

Volume of the container
= 131832 ÷ ⁴₅
= 131832 x ⁵₄
= 164790 mℓ

Base area
= 80 x 28
= 2240 cm² 

Height of the container
= 164790 ÷ 2240
≈ 73.6 cm

Answer(s): 73.6 cm