The figure shows an empty rectangular container with a capacity of 90 ℓ. The container has a height of 30 cm. Tap F filled the container at a rate of 2.3 ℓ per minute. Tap G drained water from the container at a rate of 1.1 ℓ per minute. Both taps were turned on for 24 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
90 ℓ = 90 x 1000 = 90000 mℓ
Base area of the container
=
Volumeheight =
9000030 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.3 - 1.1
= 1.2 ℓ
Volume of water that filled the container in 24 minutes when both taps were turned on
= 24 x 1.2
= 28.8 ℓ
Volume of water needed to fill the container
= 90 - 28.8
= 61.2 ℓ
Answer(s): (a) 3000 cm
2; (b) 61.2 ℓ