The figure shows an empty rectangular container with a capacity of 44 ℓ. The container has a height of 22 cm. Tap B filled the container at a rate of 2.8 ℓ per minute. Tap C drained water from the container at a rate of 1.6 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
44 ℓ = 44 x 1000 = 44000 mℓ
Base area of the container
=
Volumeheight =
4400022 = 2000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.8 - 1.6
= 1.2 ℓ
Volume of water that filled the container in 24 minutes when both taps were turned on
= 24 x 1.2
= 28.8 ℓ
Volume of water needed to fill the container
= 44 - 28.8
= 15.2 ℓ
Answer(s): (a) 2000 cm
2; (b) 15.2 ℓ