5 identical 6-cm cubes are placed in an empty rectangular tank of length 74 cm and width 21 cm. The tank is then filled with water from a tap flowing at a rate of 7 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 5 cubes
= 5 x 216
= 1080 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the tank
= 10 x 7000
= 70000 mℓ

Volume of ¹₄ of the tank
= 70000 + 1080
= 71080 mℓ

Volume of the tank
= 71080 ÷ ¹₄
= 71080 x ⁴₁
= 284320 mℓ

Base area
= 74 x 21
= 1554 cm² 

Height of the tank
= 284320 ÷ 1554
≈ 183 cm

Answer(s): 183 cm