9 identical 9-cm cubes are placed in an empty rectangular container of length 80 cm and width 30 cm. The container is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 10 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
= 9 x 9 x 9
= 729 cm³ 

Volume of 9 cubes
= 9 x 729
= 6561 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the container
= 10 x 7000
= 70000 mℓ

Volume of ¹₃ of the container
= 70000 + 6561
= 76561 mℓ

Volume of the container
= 76561 ÷ ¹₃
= 76561 x ³₁
= 229683 mℓ

Base area
= 80 x 30
= 2400 cm² 

Height of the container
= 229683 ÷ 2400
≈ 95.7 cm

Answer(s): 95.7 cm