The figure shows an empty rectangular container with a capacity of 48 ℓ. The container has a height of 30 cm. Tap R filled the container at a rate of 3.1 ℓ per minute. Tap S drained water from the container at a rate of 1.2 ℓ per minute. Both taps were turned on for 7 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
48 ℓ = 48 x 1000 = 48000 mℓ
Base area of the container
=
Volumeheight =
4800030 = 1600 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.1 - 1.2
= 1.9 ℓ
Volume of water that filled the container in 7 minutes when both taps were turned on
= 7 x 1.9
= 13.3 ℓ
Volume of water needed to fill the container
= 48 - 13.3
= 34.7 ℓ
Answer(s): (a) 1600 cm
2; (b) 34.7 ℓ