6 identical 5-cm cubes are placed in an empty rectangular tank of length 87 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 13 minutes to fill up ²₃ of the tank. What is the height of the tank? Correct your answer to 1 decimal place.
Volume of 1 cube
= 5 x 5 x 5
= 125 cm³ 

Volume of 6 cubes
= 6 x 125
= 750 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

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

Volume of ²₃ of the tank
= 104000 + 750
= 104750 mℓ

Volume of the tank
= 104750 ÷ ²₃
= 104750 x ³₂
= 157125 mℓ

Base area
= 87 x 25
= 2175 cm² 

Height of the tank
= 157125 ÷ 2175
≈ 72.2 cm

Answer(s): 72.2 cm