7 identical 9-cm cubes are placed in an empty rectangular container of length 71 cm and width 25 cm. The container is then filled with water from a tap flowing at a rate of 6 litres per minute. It takes 10 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
= 9 x 9 x 9
= 729 cm³ 

Volume of 7 cubes
= 7 x 729
= 5103 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the container
= 10 x 6000
= 60000 mℓ

Volume of ¹₄ of the container
= 60000 + 5103
= 65103 mℓ

Volume of the container
= 65103 ÷ ¹₄
= 65103 x ⁴₁
= 260412 mℓ

Base area
= 71 x 25
= 1775 cm² 

Height of the container
= 260412 ÷ 1775
≈ 146.7 cm

Answer(s): 146.7 cm