5 identical 8-cm cubes are placed in an empty rectangular tank of length 89 cm and width 24 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 ¹₅ 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 5 cubes
= 5 x 512
= 2560 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

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

Volume of ¹₅ of the tank
= 72000 + 2560
= 74560 mℓ

Volume of the tank
= 74560 ÷ ¹₅
= 74560 x ⁵₁
= 372800 mℓ

Base area
= 89 x 24
= 2136 cm² 

Height of the tank
= 372800 ÷ 2136
≈ 174.5 cm

Answer(s): 174.5 cm