The figure shows an empty rectangular container with a capacity of 66 ℓ. The container has a height of 30 cm. Tap J filled the container at a rate of 3 ℓ per minute. Tap K drained water from the container at a rate of 1.9 ℓ per minute. Both taps were turned on for 6 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 =
6600030 = 2200 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3 - 1.9
= 1.1 ℓ
Volume of water that filled the container in 6 minutes when both taps were turned on
= 6 x 1.1
= 6.6 ℓ
Volume of water needed to fill the container
= 66 - 6.6
= 59.4 ℓ
Answer(s): (a) 2200 cm
2; (b) 59.4 ℓ