8 identical 3-cm cubes are placed in an empty rectangular tank of length 85 cm and width 24 cm. The tank is then filled with water from a tap flowing at a rate of 10 litres per minute. It takes 13 minutes to fill up ¹₃ of the tank. What is the height of the tank? Correct your answer to 1 decimal place.
Volume of 1 cube
= 3 x 3 x 3
= 27 cm³ 

Volume of 8 cubes
= 8 x 27
= 216 cm³ 

1 ℓ = 1000 mℓ
10 ℓ = 10000 mℓ

Volume of water in the tank
= 13 x 10000
= 130000 mℓ

Volume of ¹₃ of the tank
= 130000 + 216
= 130216 mℓ

Volume of the tank
= 130216 ÷ ¹₃
= 130216 x ³₁
= 390648 mℓ

Base area
= 85 x 24
= 2040 cm² 

Height of the tank
= 390648 ÷ 2040
≈ 191.5 cm

Answer(s): 191.5 cm