3 identical 9-cm cubes are placed in an empty rectangular container of length 78 cm and width 28 cm. The container is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 13 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
= 9 x 9 x 9
= 729 cm³ 

Volume of 3 cubes
= 3 x 729
= 2187 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the container
= 13 x 7000
= 91000 mℓ

Volume of ¹₃ of the container
= 91000 + 2187
= 93187 mℓ

Volume of the container
= 93187 ÷ ¹₃
= 93187 x ³₁
= 279561 mℓ

Base area
= 78 x 28
= 2184 cm² 

Height of the container
= 279561 ÷ 2184
≈ 128 cm

Answer(s): 128 cm