The figure shows an empty rectangular container with a capacity of 69 ℓ. The container has a height of 30 cm. Tap X filled the container at a rate of 2.6 ℓ per minute. Tap Y drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 28 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
69 ℓ = 69 x 1000 = 69000 mℓ
Base area of the container
=
Volumeheight =
6900030 = 2300 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.6 - 1.5
= 1.1 ℓ
Volume of water that filled the container in 28 minutes when both taps were turned on
= 28 x 1.1
= 30.8 ℓ
Volume of water needed to fill the container
= 69 - 30.8
= 38.2 ℓ
Answer(s): (a) 2300 cm
2; (b) 38.2 ℓ