The figure shows an empty rectangular container with a capacity of 84 ℓ. The container has a height of 30 cm. Tap P filled the container at a rate of 3 ℓ per minute. Tap Q drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 26 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
84 ℓ = 84 x 1000 = 84000 mℓ
Base area of the container
=
Volumeheight =
8400030 = 2800 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3 - 1.5
= 1.5 ℓ
Volume of water that filled the container in 26 minutes when both taps were turned on
= 26 x 1.5
= 39 ℓ
Volume of water needed to fill the container
= 84 - 39
= 45 ℓ
Answer(s): (a) 2800 cm
2; (b) 45 ℓ