The figure shows a container made up of 3 sections. Cuboid Y with a square base of side 14 cm and height 47 cm. Cube Z with a side of 11 cm. Cuboid A that is 80 cm by 26 cm by 42 cm. Water from a tap above flows down at a rate of 2.1 litres per minute while water is drained out from the bottom at a rate of 2 litre per minute. How long did it take to fill up the container to a height of 59 cm from the base? Give the answer in minutes correct to nearest whole number.
Volume of Z
= 11 x 11 x 11
= 1331 cm³ 

Volume of A
= 80 x 26 x 42
= 87360 cm³ 

2 ℓ = 2000 cm³ 
2.1 ℓ = 2100 cm³ 

Net increase in volume per minute
= 2100 - 2000
= 100 cm³/min

Height of Y to be filled with water
= 59 - (42 + 11)
= 6 cm

Volume of water in Y
= 14 x 14 x 6
= 1176 cm³ 

Volume of water in A, Z and part of Y
= 87360 + 1331 + 1176
= 89867 cm³ 

Time taken to reach height
= 89867 ÷ 100
≈ 899 min (Correct to nearest whole number)

Answer(s): 899 min