The figure shows an empty rectangular container with a capacity of 54 ℓ. The container has a height of 30 cm. Tap K filled the container at a rate of 3.1 ℓ per minute. Tap L drained water from the container at a rate of 1.8 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
54 ℓ = 54 x 1000 = 54000 mℓ
Base area of the container
=
Volumeheight =
5400030 = 1800 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.1 - 1.8
= 1.3 ℓ
Volume of water that filled the container in 6 minutes when both taps were turned on
= 6 x 1.3
= 7.8 ℓ
Volume of water needed to fill the container
= 54 - 7.8
= 46.2 ℓ
Answer(s): (a) 1800 cm
2; (b) 46.2 ℓ