6 identical 10-cm cubes are placed in an empty rectangular container of length 76 cm and width 22 cm. The container is then filled with water from a tap flowing at a rate of 10 litres per minute. It takes 9 minutes to fill up ¹₄ 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 6 cubes
= 6 x 1000
= 6000 cm³ 

1 ℓ = 1000 mℓ
10 ℓ = 10000 mℓ

Volume of water in the container
= 9 x 10000
= 90000 mℓ

Volume of ¹₄ of the container
= 90000 + 6000
= 96000 mℓ

Volume of the container
= 96000 ÷ ¹₄
= 96000 x ⁴₁
= 384000 mℓ

Base area
= 76 x 22
= 1672 cm² 

Height of the container
= 384000 ÷ 1672
≈ 229.7 cm

Answer(s): 229.7 cm