8 identical 6-cm cubes are placed in an empty rectangular tank of length 72 cm and width 26 cm. The tank is then filled with water from a tap flowing at a rate of 6 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
= 6 x 6 x 6
= 216 cm³ 

Volume of 8 cubes
= 8 x 216
= 1728 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the tank
= 13 x 6000
= 78000 mℓ

Volume of ²₃ of the tank
= 78000 + 1728
= 79728 mℓ

Volume of the tank
= 79728 ÷ ²₃
= 79728 x ³₂
= 119592 mℓ

Base area
= 72 x 26
= 1872 cm² 

Height of the tank
= 119592 ÷ 1872
≈ 63.9 cm

Answer(s): 63.9 cm