3 identical 6-cm cubes are placed in an empty rectangular container of length 89 cm and width 24 cm. The container is then filled with water from a tap flowing at a rate of 5 litres per minute. It takes 13 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
= 6 x 6 x 6
= 216 cm³ 

Volume of 3 cubes
= 3 x 216
= 648 cm³ 

1 ℓ = 1000 mℓ
5 ℓ = 5000 mℓ

Volume of water in the container
= 13 x 5000
= 65000 mℓ

Volume of ¹₄ of the container
= 65000 + 648
= 65648 mℓ

Volume of the container
= 65648 ÷ ¹₄
= 65648 x ⁴₁
= 262592 mℓ

Base area
= 89 x 24
= 2136 cm² 

Height of the container
= 262592 ÷ 2136
≈ 122.9 cm

Answer(s): 122.9 cm