3 identical 8-cm cubes are placed in an empty rectangular container of length 84 cm and width 29 cm. The container is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 8 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 3 cubes
= 3 x 512
= 1536 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the container
= 8 x 8000
= 64000 mℓ

Volume of ¹₂ of the container
= 64000 + 1536
= 65536 mℓ

Volume of the container
= 65536 ÷ ¹₂
= 65536 x ²₁
= 131072 mℓ

Base area
= 84 x 29
= 2436 cm² 

Height of the container
= 131072 ÷ 2436
≈ 53.8 cm

Answer(s): 53.8 cm