8 identical 10-cm cubes are placed in an empty rectangular container of length 70 cm and width 29 cm. The container is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 9 minutes to fill up ¹₅ 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 8 cubes
= 8 x 1000
= 8000 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the container
= 9 x 7000
= 63000 mℓ

Volume of ¹₅ of the container
= 63000 + 8000
= 71000 mℓ

Volume of the container
= 71000 ÷ ¹₅
= 71000 x ⁵₁
= 355000 mℓ

Base area
= 70 x 29
= 2030 cm² 

Height of the container
= 355000 ÷ 2030
≈ 174.9 cm

Answer(s): 174.9 cm