The figure shows an empty rectangular container with a capacity of 36 ℓ. The container has a height of 15 cm. Tap N filled the container at a rate of 3.2 ℓ per minute. Tap P drained water from the container at a rate of 1.8 ℓ per minute. Both taps were turned on for 6 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
36 ℓ = 36 x 1000 = 36000 mℓ
Base area of the container
=
Volumeheight =
3600015 = 2400 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.2 - 1.8
= 1.4 ℓ
Volume of water that filled the container in 6 minutes when both taps were turned on
= 6 x 1.4
= 8.4 ℓ
Volume of water needed to fill the container
= 36 - 8.4
= 27.6 ℓ
Answer(s): (a) 2400 cm
2; (b) 27.6 ℓ