5 identical 8-cm cubes are placed in an empty rectangular container of length 84 cm and width 23 cm. The container is then filled with water from a tap flowing at a rate of 10 litres per minute. It takes 14 minutes to fill up ¹₃ of the container. What is the height of the container? Correct your answer to 1 decimal place.
Volume of 1 cube
= 8 x 8 x 8
= 512 cm³ 

Volume of 5 cubes
= 5 x 512
= 2560 cm³ 

1 ℓ = 1000 mℓ
10 ℓ = 10000 mℓ

Volume of water in the container
= 14 x 10000
= 140000 mℓ

Volume of ¹₃ of the container
= 140000 + 2560
= 142560 mℓ

Volume of the container
= 142560 ÷ ¹₃
= 142560 x ³₁
= 427680 mℓ

Base area
= 84 x 23
= 1932 cm² 

Height of the container
= 427680 ÷ 1932
≈ 221.4 cm

Answer(s): 221.4 cm