6 identical 8-cm cubes are placed in an empty rectangular container of length 77 cm and width 27 cm. The container is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 14 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
= 8 x 8 x 8
= 512 cm³ 

Volume of 6 cubes
= 6 x 512
= 3072 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the container
= 14 x 7000
= 98000 mℓ

Volume of ¹₃ of the container
= 98000 + 3072
= 101072 mℓ

Volume of the container
= 101072 ÷ ¹₃
= 101072 x ³₁
= 303216 mℓ

Base area
= 77 x 27
= 2079 cm² 

Height of the container
= 303216 ÷ 2079
≈ 145.8 cm

Answer(s): 145.8 cm