The figure shows an empty rectangular container with a capacity of 87 ℓ. The container has a height of 29 cm. Tap A filled the container at a rate of 3.6 ℓ per minute. Tap B drained water from the container at a rate of 1.8 ℓ per minute. Both taps were turned on for 27 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
87 ℓ = 87 x 1000 = 87000 mℓ
Base area of the container
=
Volumeheight =
8700029 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.6 - 1.8
= 1.8 ℓ
Volume of water that filled the container in 27 minutes when both taps were turned on
= 27 x 1.8
= 48.6 ℓ
Volume of water needed to fill the container
= 87 - 48.6
= 38.4 ℓ
Answer(s): (a) 3000 cm
2; (b) 38.4 ℓ