9 identical 4-cm cubes are placed in an empty rectangular container of length 73 cm and width 26 cm. The container is then filled with water from a tap flowing at a rate of 6 litres per minute. It takes 13 minutes to fill up ⁴₅ of the container. What is the height of the container? Correct your answer to 1 decimal place.
Volume of 1 cube
= 4 x 4 x 4
= 64 cm³ 

Volume of 9 cubes
= 9 x 64
= 576 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the container
= 13 x 6000
= 78000 mℓ

Volume of ⁴₅ of the container
= 78000 + 576
= 78576 mℓ

Volume of the container
= 78576 ÷ ⁴₅
= 78576 x ⁵₄
= 98220 mℓ

Base area
= 73 x 26
= 1898 cm² 

Height of the container
= 98220 ÷ 1898
≈ 51.7 cm

Answer(s): 51.7 cm