8 identical 5-cm cubes are placed in an empty rectangular tank of length 77 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 12 minutes to fill up ¹₃ of the tank. What is the height of the tank? Correct your answer to 1 decimal place.
Volume of 1 cube
= 5 x 5 x 5
= 125 cm³ 

Volume of 8 cubes
= 8 x 125
= 1000 cm³ 

1 ℓ = 1000 mℓ
7 ℓ = 7000 mℓ

Volume of water in the tank
= 12 x 7000
= 84000 mℓ

Volume of ¹₃ of the tank
= 84000 + 1000
= 85000 mℓ

Volume of the tank
= 85000 ÷ ¹₃
= 85000 x ³₁
= 255000 mℓ

Base area
= 77 x 25
= 1925 cm² 

Height of the tank
= 255000 ÷ 1925
≈ 132.5 cm

Answer(s): 132.5 cm