The figure shows an empty rectangular container with a capacity of 52 ℓ. The container has a height of 20 cm. Tap K filled the container at a rate of 3.2 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 15 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
52 ℓ = 52 x 1000 = 52000 mℓ
Base area of the container
=
Volumeheight =
5200020 = 2600 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.2 - 1.8
= 1.4 ℓ
Volume of water that filled the container in 15 minutes when both taps were turned on
= 15 x 1.4
= 21 ℓ
Volume of water needed to fill the container
= 52 - 21
= 31 ℓ
Answer(s): (a) 2600 cm
2; (b) 31 ℓ