The figure shows an empty rectangular container with a capacity of 66 ℓ. The container has a height of 22 cm. Tap S filled the container at a rate of 3.3 ℓ per minute. Tap T drained water from the container at a rate of 1.8 ℓ per minute. Both taps were turned on for 12 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
66 ℓ = 66 x 1000 = 66000 mℓ
Base area of the container
=
Volumeheight =
6600022 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.3 - 1.8
= 1.5 ℓ
Volume of water that filled the container in 12 minutes when both taps were turned on
= 12 x 1.5
= 18 ℓ
Volume of water needed to fill the container
= 66 - 18
= 48 ℓ
Answer(s): (a) 3000 cm
2; (b) 48 ℓ