5 identical 8-cm cubes are placed in an empty rectangular tank of length 70 cm and width 26 cm. The tank is then filled with water from a tap flowing at a rate of 9 litres per minute. It takes 13 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
9 ℓ = 9000 mℓ

Volume of water in the tank
= 13 x 9000
= 117000 mℓ

Volume of ¹₄ of the tank
= 117000 + 2560
= 119560 mℓ

Volume of the tank
= 119560 ÷ ¹₄
= 119560 x ⁴₁
= 478240 mℓ

Base area
= 70 x 26
= 1820 cm² 

Height of the tank
= 478240 ÷ 1820
≈ 262.8 cm

Answer(s): 262.8 cm