The figure shows an empty rectangular container with a capacity of 36 ℓ. The container has a height of 24 cm. Tap V filled the container at a rate of 3.3 ℓ per minute. Tap W drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 13 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
36 ℓ = 36 x 1000 = 36000 mℓ
Base area of the container
=
Volumeheight =
3600024 = 1500 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.3 - 1.6
= 1.7 ℓ
Volume of water that filled the container in 13 minutes when both taps were turned on
= 13 x 1.7
= 22.1 ℓ
Volume of water needed to fill the container
= 36 - 22.1
= 13.9 ℓ
Answer(s): (a) 1500 cm
2; (b) 13.9 ℓ