9 identical 8-cm cubes are placed in an empty rectangular tank of length 76 cm and width 23 cm. The tank is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 9 minutes to fill up ²₅ of the tank. What is the height of the tank? Correct your answer to 1 decimal place.
Volume of 1 cube
= 8 x 8 x 8
= 512 cm³ 

Volume of 9 cubes
= 9 x 512
= 4608 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the tank
= 9 x 8000
= 72000 mℓ

Volume of ²₅ of the tank
= 72000 + 4608
= 76608 mℓ

Volume of the tank
= 76608 ÷ ²₅
= 76608 x ⁵₂
= 191520 mℓ

Base area
= 76 x 23
= 1748 cm² 

Height of the tank
= 191520 ÷ 1748
≈ 109.6 cm

Answer(s): 109.6 cm