8 identical 2-cm cubes are placed in an empty rectangular container of length 71 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 11 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
= 2 x 2 x 2
= 8 cm³ 

Volume of 8 cubes
= 8 x 8
= 64 cm³ 

1 ℓ = 1000 mℓ
10 ℓ = 10000 mℓ

Volume of water in the container
= 11 x 10000
= 110000 mℓ

Volume of ²₃ of the container
= 110000 + 64
= 110064 mℓ

Volume of the container
= 110064 ÷ ²₃
= 110064 x ³₂
= 165096 mℓ

Base area
= 71 x 23
= 1633 cm² 

Height of the container
= 165096 ÷ 1633
≈ 101.1 cm

Answer(s): 101.1 cm