8 identical 3-cm cubes are placed in an empty rectangular container of length 87 cm and width 24 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 ²₃ of the container. What is the height of the container? Correct your answer to 1 decimal place.
Volume of 1 cube
= 3 x 3 x 3
= 27 cm³ 

Volume of 8 cubes
= 8 x 27
= 216 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

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

Volume of ²₃ of the container
= 60000 + 216
= 60216 mℓ

Volume of the container
= 60216 ÷ ²₃
= 60216 x ³₂
= 90324 mℓ

Base area
= 87 x 24
= 2088 cm² 

Height of the container
= 90324 ÷ 2088
≈ 43.3 cm

Answer(s): 43.3 cm