The figure shows an empty rectangular container with a capacity of 39 ℓ. The container has a height of 26 cm. Tap Q filled the container at a rate of 3.4 ℓ per minute. Tap R drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 10 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 =
3900026 = 1500 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.4 - 1.5
= 1.9 ℓ
Volume of water that filled the container in 10 minutes when both taps were turned on
= 10 x 1.9
= 19 ℓ
Volume of water needed to fill the container
= 39 - 19
= 20 ℓ
Answer(s): (a) 1500 cm
2; (b) 20 ℓ