4 identical 4-cm cubes are placed in an empty rectangular container of length 86 cm and width 24 cm. The container is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 14 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
= 4 x 4 x 4
= 64 cm³ 

Volume of 4 cubes
= 4 x 64
= 256 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the container
= 14 x 7000
= 98000 mℓ

Volume of ¹₂ of the container
= 98000 + 256
= 98256 mℓ

Volume of the container
= 98256 ÷ ¹₂
= 98256 x ²₁
= 196512 mℓ

Base area
= 86 x 24
= 2064 cm² 

Height of the container
= 196512 ÷ 2064
≈ 95.2 cm

Answer(s): 95.2 cm