4 identical 4-cm cubes are placed in an empty rectangular container of length 84 cm and width 23 cm. The container is then filled with water from a tap flowing at a rate of 6 litres per minute. It takes 12 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
= 4 x 4 x 4
= 64 cm³ 

Volume of 4 cubes
= 4 x 64
= 256 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the container
= 12 x 6000
= 72000 mℓ

Volume of ¹₃ of the container
= 72000 + 256
= 72256 mℓ

Volume of the container
= 72256 ÷ ¹₃
= 72256 x ³₁
= 216768 mℓ

Base area
= 84 x 23
= 1932 cm² 

Height of the container
= 216768 ÷ 1932
≈ 112.2 cm

Answer(s): 112.2 cm