The figure shows an empty rectangular container with a capacity of 39 ℓ. The container has a height of 15 cm. Tap A filled the container at a rate of 2.7 ℓ per minute. Tap B drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 19 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
39 ℓ = 39 x 1000 = 39000 mℓ
Base area of the container
=
Volumeheight =
3900015 = 2600 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.7 - 1.5
= 1.2 ℓ
Volume of water that filled the container in 19 minutes when both taps were turned on
= 19 x 1.2
= 22.8 ℓ
Volume of water needed to fill the container
= 39 - 22.8
= 16.2 ℓ
Answer(s): (a) 2600 cm
2; (b) 16.2 ℓ