The figure shows an empty rectangular container with a capacity of 63 ℓ. The container has a height of 30 cm. Tap G filled the container at a rate of 3.4 ℓ per minute. Tap H drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 19 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
63 ℓ = 63 x 1000 = 63000 mℓ
Base area of the container
=
Volumeheight =
6300030 = 2100 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.4 - 1.6
= 1.8 ℓ
Volume of water that filled the container in 19 minutes when both taps were turned on
= 19 x 1.8
= 34.2 ℓ
Volume of water needed to fill the container
= 63 - 34.2
= 28.8 ℓ
Answer(s): (a) 2100 cm
2; (b) 28.8 ℓ