3 identical 10-cm cubes are placed in an empty rectangular container of length 87 cm and width 21 cm. The container is then filled with water from a tap flowing at a rate of 6 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
= 10 x 10 x 10
= 1000 cm³ 

Volume of 3 cubes
= 3 x 1000
= 3000 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the container
= 14 x 6000
= 84000 mℓ

Volume of ¹₂ of the container
= 84000 + 3000
= 87000 mℓ

Volume of the container
= 87000 ÷ ¹₂
= 87000 x ²₁
= 174000 mℓ

Base area
= 87 x 21
= 1827 cm² 

Height of the container
= 174000 ÷ 1827
≈ 95.2 cm

Answer(s): 95.2 cm