The figure shows an empty rectangular container with a capacity of 54 ℓ. The container has a height of 30 cm. Tap P filled the container at a rate of 2.5 ℓ per minute. Tap Q drained water from the container at a rate of 1.2 ℓ per minute. Both taps were turned on for 30 minutes and then turned off.
- What is the base area of the container?
- After both taps were turned off, how much more water is needed to fill the container completely? Give your answer in litres.
(a)
1 ℓ = 1000 mℓ
54 ℓ = 54 x 1000 = 54000 mℓ
Base area of the container
=
Volumeheight =
5400030 = 1800 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.5 - 1.2
= 1.3 ℓ
Volume of water that filled the container in 30 minutes when both taps were turned on
= 30 x 1.3
= 39 ℓ
Volume of water needed to fill the container
= 54 - 39
= 15 ℓ
Answer(s): (a) 1800 cm
2; (b) 15 ℓ