8 identical 7-cm cubes are placed in an empty rectangular tank of length 87 cm and width 26 cm. The tank is then filled with water from a tap flowing at a rate of 8 litres per minute. It takes 14 minutes to fill up ¹₅ of the tank. What is the height of the tank? Correct your answer to 1 decimal place.
Volume of 1 cube
= 7 x 7 x 7
= 343 cm³ 

Volume of 8 cubes
= 8 x 343
= 2744 cm³ 

1 ℓ = 1000 mℓ
8 ℓ = 8000 mℓ

Volume of water in the tank
= 14 x 8000
= 112000 mℓ

Volume of ¹₅ of the tank
= 112000 + 2744
= 114744 mℓ

Volume of the tank
= 114744 ÷ ¹₅
= 114744 x ⁵₁
= 573720 mℓ

Base area
= 87 x 26
= 2262 cm² 

Height of the tank
= 573720 ÷ 2262
≈ 253.6 cm

Answer(s): 253.6 cm