The figure shows an empty rectangular container with a capacity of 28 ℓ. The container has a height of 20 cm. Tap L filled the container at a rate of 3.5 ℓ per minute. Tap M drained water from the container at a rate of 1.8 ℓ per minute. Both taps were turned on for 6 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
28 ℓ = 28 x 1000 = 28000 mℓ
Base area of the container
=
Volumeheight =
2800020 = 1400 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.5 - 1.8
= 1.7 ℓ
Volume of water that filled the container in 6 minutes when both taps were turned on
= 6 x 1.7
= 10.2 ℓ
Volume of water needed to fill the container
= 28 - 10.2
= 17.8 ℓ
Answer(s): (a) 1400 cm
2; (b) 17.8 ℓ