The figure shows an empty rectangular container with a capacity of 34 ℓ. The container has a height of 20 cm. Tap J filled the container at a rate of 2.4 ℓ per minute. Tap K drained water from the container at a rate of 1.2 ℓ per minute. Both taps were turned on for 9 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
34 ℓ = 34 x 1000 = 34000 mℓ
Base area of the container
=
Volumeheight =
3400020 = 1700 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.4 - 1.2
= 1.2 ℓ
Volume of water that filled the container in 9 minutes when both taps were turned on
= 9 x 1.2
= 10.8 ℓ
Volume of water needed to fill the container
= 34 - 10.8
= 23.2 ℓ
Answer(s): (a) 1700 cm
2; (b) 23.2 ℓ