The figure shows an empty rectangular container with a capacity of 81 ℓ. The container has a height of 27 cm. Tap B filled the container at a rate of 2.9 ℓ per minute. Tap C drained water from the container at a rate of 1.4 ℓ per minute. Both taps were turned on for 23 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
81 ℓ = 81 x 1000 = 81000 mℓ
Base area of the container
=
Volumeheight =
8100027 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.9 - 1.4
= 1.5 ℓ
Volume of water that filled the container in 23 minutes when both taps were turned on
= 23 x 1.5
= 34.5 ℓ
Volume of water needed to fill the container
= 81 - 34.5
= 46.5 ℓ
Answer(s): (a) 3000 cm
2; (b) 46.5 ℓ