6 identical 6-cm cubes are placed in an empty rectangular container of length 78 cm and width 30 cm. The container is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 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 6 cubes
= 6 x 216
= 1296 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the container
= 12 x 7000
= 84000 mℓ

Volume of ¹₄ of the container
= 84000 + 1296
= 85296 mℓ

Volume of the container
= 85296 ÷ ¹₄
= 85296 x ⁴₁
= 341184 mℓ

Base area
= 78 x 30
= 2340 cm² 

Height of the container
= 341184 ÷ 2340
≈ 145.8 cm

Answer(s): 145.8 cm