The figure shows an empty rectangular container with a capacity of 48 ℓ. The container has a height of 20 cm. Tap A filled the container at a rate of 3.1 ℓ per minute. Tap B drained water from the container at a rate of 1.9 ℓ per minute. Both taps were turned on for 16 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
48 ℓ = 48 x 1000 = 48000 mℓ
Base area of the container
=
Volumeheight =
4800020 = 2400 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.1 - 1.9
= 1.2 ℓ
Volume of water that filled the container in 16 minutes when both taps were turned on
= 16 x 1.2
= 19.2 ℓ
Volume of water needed to fill the container
= 48 - 19.2
= 28.8 ℓ
Answer(s): (a) 2400 cm
2; (b) 28.8 ℓ