The figure shows an empty rectangular container with a capacity of 30 ℓ. The container has a height of 15 cm. Tap X filled the container at a rate of 3.4 ℓ per minute. Tap Y drained water from the container at a rate of 1.9 ℓ per minute. Both taps were turned on for 13 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
30 ℓ = 30 x 1000 = 30000 mℓ
Base area of the container
=
Volumeheight =
3000015 = 2000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.4 - 1.9
= 1.5 ℓ
Volume of water that filled the container in 13 minutes when both taps were turned on
= 13 x 1.5
= 19.5 ℓ
Volume of water needed to fill the container
= 30 - 19.5
= 10.5 ℓ
Answer(s): (a) 2000 cm
2; (b) 10.5 ℓ