7 identical 6-cm cubes are placed in an empty rectangular tank of length 89 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 6 litres per minute. It takes 10 minutes to fill up ¹₄ 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 7 cubes
= 7 x 216
= 1512 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the tank
= 10 x 6000
= 60000 mℓ

Volume of ¹₄ of the tank
= 60000 + 1512
= 61512 mℓ

Volume of the tank
= 61512 ÷ ¹₄
= 61512 x ⁴₁
= 246048 mℓ

Base area
= 89 x 25
= 2225 cm² 

Height of the tank
= 246048 ÷ 2225
≈ 110.6 cm

Answer(s): 110.6 cm