4 identical 2-cm cubes are placed in an empty rectangular container of length 78 cm and width 29 cm. The container is then filled with water from a tap flowing at a rate of 8 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
= 2 x 2 x 2
= 8 cm³ 

Volume of 4 cubes
= 4 x 8
= 32 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the container
= 13 x 8000
= 104000 mℓ

Volume of ¹₃ of the container
= 104000 + 32
= 104032 mℓ

Volume of the container
= 104032 ÷ ¹₃
= 104032 x ³₁
= 312096 mℓ

Base area
= 78 x 29
= 2262 cm² 

Height of the container
= 312096 ÷ 2262
≈ 138 cm

Answer(s): 138 cm