The figure shows an empty rectangular container with a capacity of 48 ℓ. The container has a height of 16 cm. Tap U filled the container at a rate of 3.1 ℓ per minute. Tap V drained water from the container at a rate of 1.4 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
48 ℓ = 48 x 1000 = 48000 mℓ
Base area of the container
=
Volumeheight =
4800016 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.1 - 1.4
= 1.7 ℓ
Volume of water that filled the container in 22 minutes when both taps were turned on
= 22 x 1.7
= 37.4 ℓ
Volume of water needed to fill the container
= 48 - 37.4
= 10.6 ℓ
Answer(s): (a) 3000 cm
2; (b) 10.6 ℓ