7 identical 4-cm cubes are placed in an empty rectangular container of length 78 cm and width 27 cm. The container is then filled with water from a tap flowing at a rate of 5 litres per minute. It takes 8 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
= 4 x 4 x 4
= 64 cm³ 

Volume of 7 cubes
= 7 x 64
= 448 cm³ 

1 ℓ = 1000 mℓ
5 ℓ = 5000 mℓ

Volume of water in the container
= 8 x 5000
= 40000 mℓ

Volume of ¹₄ of the container
= 40000 + 448
= 40448 mℓ

Volume of the container
= 40448 ÷ ¹₄
= 40448 x ⁴₁
= 161792 mℓ

Base area
= 78 x 27
= 2106 cm² 

Height of the container
= 161792 ÷ 2106
≈ 76.8 cm

Answer(s): 76.8 cm