4 identical 6-cm cubes are placed in an empty rectangular container of length 72 cm and width 27 cm. The container is then filled with water from a tap flowing at a rate of 5 litres per minute. It takes 14 minutes to fill up ²₃ of the container. What is the height of the container? Correct your answer to 1 decimal place.
Volume of 1 cube
= 6 x 6 x 6
= 216 cm³ 

Volume of 4 cubes
= 4 x 216
= 864 cm³ 

1 ℓ = 1000 mℓ
5 ℓ = 5000 mℓ

Volume of water in the container
= 14 x 5000
= 70000 mℓ

Volume of ²₃ of the container
= 70000 + 864
= 70864 mℓ

Volume of the container
= 70864 ÷ ²₃
= 70864 x ³₂
= 106296 mℓ

Base area
= 72 x 27
= 1944 cm² 

Height of the container
= 106296 ÷ 1944
≈ 54.7 cm

Answer(s): 54.7 cm