4 identical 8-cm cubes are placed in an empty rectangular tank of length 76 cm and width 27 cm. The tank is then filled with water from a tap flowing at a rate of 6 litres per minute. It takes 9 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
= 8 x 8 x 8
= 512 cm³ 

Volume of 4 cubes
= 4 x 512
= 2048 cm³ 

1 ℓ = 1000 mℓ
6 ℓ = 6000 mℓ

Volume of water in the tank
= 9 x 6000
= 54000 mℓ

Volume of ¹₄ of the tank
= 54000 + 2048
= 56048 mℓ

Volume of the tank
= 56048 ÷ ¹₄
= 56048 x ⁴₁
= 224192 mℓ

Base area
= 76 x 27
= 2052 cm² 

Height of the tank
= 224192 ÷ 2052
≈ 109.3 cm

Answer(s): 109.3 cm