The figure below shows an empty container. All edges meet at right angles. When the tap is turned on, water flows into the container at a rate of 2.01 litres per minute. How much time is needed to fill the container completely? Ans: ___

1. Decompose the container into two cuboids and find their dimensions.

Let the container be split vertically into a taller cuboid and a shorter cuboid.
Length of the shorter cuboid = $24$ cm.
Length of the taller cuboid = $42 - 24 = 18$ cm.
Height of the taller cuboid = $85$ cm.
Height of the shorter cuboid = $20$ cm.
Width of both cuboids = $14$ cm.

2. Calculate the total volume of the container in cubic centimetres.

Volume of taller cuboid = $18 \times 14 \times 85 = 21420 \text{ cm}^3$
Volume of shorter cuboid = $24 \times 14 \times 20 = 6720 \text{ cm}^3$
Total volume = $21420 + 6720 = 28140 \text{ cm}^3$

3. Convert the volume to litres and calculate the time needed.

Total volume in litres = $28140 \div 1000 = 28.14$ litres.
Time needed = $\frac{28.14}{2.01} = 14$ minutes.