8 identical 8-cm cubes are placed in an empty rectangular container of length 88 cm and width 22 cm. The container is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 11 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 8 cubes
= 8 x 512
= 4096 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the container
= 11 x 8000
= 88000 mℓ

Volume of ¹₃ of the container
= 88000 + 4096
= 92096 mℓ

Volume of the container
= 92096 ÷ ¹₃
= 92096 x ³₁
= 276288 mℓ

Base area
= 88 x 22
= 1936 cm² 

Height of the container
= 276288 ÷ 1936
≈ 142.7 cm

Answer(s): 142.7 cm