The figure shows an empty rectangular container with a capacity of 65 ℓ. The container has a height of 25 cm. Tap N filled the container at a rate of 3.1 ℓ per minute. Tap P drained water from the container at a rate of 1.3 ℓ per minute. Both taps were turned on for 24 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
65 ℓ = 65 x 1000 = 65000 mℓ
Base area of the container
=
Volumeheight =
6500025 = 2600 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.1 - 1.3
= 1.8 ℓ
Volume of water that filled the container in 24 minutes when both taps were turned on
= 24 x 1.8
= 43.2 ℓ
Volume of water needed to fill the container
= 65 - 43.2
= 21.8 ℓ
Answer(s): (a) 2600 cm
2; (b) 21.8 ℓ