The figure shows an empty rectangular container with a capacity of 55 ℓ. The container has a height of 25 cm. Tap Q filled the container at a rate of 3.3 ℓ per minute. Tap R drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 6 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
= 3.3 - 1.6
= 1.7 ℓ
Volume of water that filled the container in 6 minutes when both taps were turned on
= 6 x 1.7
= 10.2 ℓ
Volume of water needed to fill the container
= 55 - 10.2
= 44.8 ℓ
Answer(s): (a) 2200 cm
2; (b) 44.8 ℓ