The figure shows an empty rectangular container with a capacity of 72 ℓ. The container has a height of 30 cm. Tap F filled the container at a rate of 3.5 ℓ per minute. Tap G drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 23 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
72 ℓ = 72 x 1000 = 72000 mℓ
Base area of the container
=
Volumeheight =
7200030 = 2400 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.5 - 1.6
= 1.9 ℓ
Volume of water that filled the container in 23 minutes when both taps were turned on
= 23 x 1.9
= 43.7 ℓ
Volume of water needed to fill the container
= 72 - 43.7
= 28.3 ℓ
Answer(s): (a) 2400 cm
2; (b) 28.3 ℓ