6 identical 8-cm cubes are placed in an empty rectangular container of length 90 cm and width 28 cm. The container is then filled with water from a tap flowing at a rate of 9 litres per minute. It takes 12 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
= 8 x 8 x 8
= 512 cm³ 

Volume of 6 cubes
= 6 x 512
= 3072 cm³ 

1 ℓ = 1000 mℓ
9 ℓ = 9000 mℓ

Volume of water in the container
= 12 x 9000
= 108000 mℓ

Volume of ²₃ of the container
= 108000 + 3072
= 111072 mℓ

Volume of the container
= 111072 ÷ ²₃
= 111072 x ³₂
= 166608 mℓ

Base area
= 90 x 28
= 2520 cm² 

Height of the container
= 166608 ÷ 2520
≈ 66.1 cm

Answer(s): 66.1 cm