The figure shows an empty rectangular container with a capacity of 75 ℓ. The container has a height of 25 cm. Tap X filled the container at a rate of 2.4 ℓ per minute. Tap Y drained water from the container at a rate of 1.1 ℓ per minute. Both taps were turned on for 22 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
75 ℓ = 75 x 1000 = 75000 mℓ
Base area of the container
=
Volumeheight =
7500025 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.4 - 1.1
= 1.3 ℓ
Volume of water that filled the container in 22 minutes when both taps were turned on
= 22 x 1.3
= 28.6 ℓ
Volume of water needed to fill the container
= 75 - 28.6
= 46.4 ℓ
Answer(s): (a) 3000 cm
2; (b) 46.4 ℓ