The figure shows an empty rectangular container with a capacity of 57 ℓ. The container has a height of 30 cm. Tap M filled the container at a rate of 3.3 ℓ per minute. Tap N drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 29 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
57 ℓ = 57 x 1000 = 57000 mℓ
Base area of the container
=
Volumeheight =
5700030 = 1900 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.3 - 1.5
= 1.8 ℓ
Volume of water that filled the container in 29 minutes when both taps were turned on
= 29 x 1.8
= 52.2 ℓ
Volume of water needed to fill the container
= 57 - 52.2
= 4.8 ℓ
Answer(s): (a) 1900 cm
2; (b) 4.8 ℓ