3 identical 6-cm cubes are placed in an empty rectangular tank of length 75 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 8 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 3 cubes
= 3 x 216
= 648 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the tank
= 8 x 7000
= 56000 mℓ

Volume of ¹₄ of the tank
= 56000 + 648
= 56648 mℓ

Volume of the tank
= 56648 ÷ ¹₄
= 56648 x ⁴₁
= 226592 mℓ

Base area
= 75 x 25
= 1875 cm² 

Height of the tank
= 226592 ÷ 1875
≈ 120.8 cm

Answer(s): 120.8 cm