4 identical 8-cm cubes are placed in an empty rectangular container of length 86 cm and width 28 cm. The container is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 13 minutes to fill up ¹₂ 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 4 cubes
= 4 x 512
= 2048 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the container
= 13 x 8000
= 104000 mℓ

Volume of ¹₂ of the container
= 104000 + 2048
= 106048 mℓ

Volume of the container
= 106048 ÷ ¹₂
= 106048 x ²₁
= 212096 mℓ

Base area
= 86 x 28
= 2408 cm² 

Height of the container
= 212096 ÷ 2408
≈ 88.1 cm

Answer(s): 88.1 cm