The figure shows an empty rectangular container with a capacity of 46 ℓ. The container has a height of 23 cm. Tap M filled the container at a rate of 3 ℓ per minute. Tap N drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 20 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
46 ℓ = 46 x 1000 = 46000 mℓ
Base area of the container
=
Volumeheight =
4600023 = 2000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3 - 1.6
= 1.4 ℓ
Volume of water that filled the container in 20 minutes when both taps were turned on
= 20 x 1.4
= 28 ℓ
Volume of water needed to fill the container
= 46 - 28
= 18 ℓ
Answer(s): (a) 2000 cm
2; (b) 18 ℓ