5 identical 8-cm cubes are placed in an empty rectangular tank of length 79 cm and width 29 cm. The tank is then filled with water from a tap flowing at a rate of 5 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
= 8 x 8 x 8
= 512 cm³ 

Volume of 5 cubes
= 5 x 512
= 2560 cm³ 

1 ℓ = 1000 mℓ
5 ℓ = 5000 mℓ

Volume of water in the tank
= 8 x 5000
= 40000 mℓ

Volume of ¹₄ of the tank
= 40000 + 2560
= 42560 mℓ

Volume of the tank
= 42560 ÷ ¹₄
= 42560 x ⁴₁
= 170240 mℓ

Base area
= 79 x 29
= 2291 cm² 

Height of the tank
= 170240 ÷ 2291
≈ 74.3 cm

Answer(s): 74.3 cm