7 identical 9-cm cubes are placed in an empty rectangular container of length 88 cm and width 21 cm. The container is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 14 minutes to fill up ¹₄ 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 7 cubes
= 7 x 729
= 5103 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the container
= 14 x 8000
= 112000 mℓ

Volume of ¹₄ of the container
= 112000 + 5103
= 117103 mℓ

Volume of the container
= 117103 ÷ ¹₄
= 117103 x ⁴₁
= 468412 mℓ

Base area
= 88 x 21
= 1848 cm² 

Height of the container
= 468412 ÷ 1848
≈ 253.5 cm

Answer(s): 253.5 cm