The figure shows an empty rectangular container with a capacity of 55 ℓ. The container has a height of 25 cm. Tap U filled the container at a rate of 3.4 ℓ per minute. Tap V drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 22 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
55 ℓ = 55 x 1000 = 55000 mℓ
Base area of the container
=
Volumeheight =
5500025 = 2200 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.4 - 1.5
= 1.9 ℓ
Volume of water that filled the container in 22 minutes when both taps were turned on
= 22 x 1.9
= 41.8 ℓ
Volume of water needed to fill the container
= 55 - 41.8
= 13.2 ℓ
Answer(s): (a) 2200 cm
2; (b) 13.2 ℓ