The figure shows an empty rectangular container with a capacity of 33 ℓ. The container has a height of 15 cm. Tap L filled the container at a rate of 2.4 ℓ per minute. Tap M drained water from the container at a rate of 1.1 ℓ per minute. Both taps were turned on for 7 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
33 ℓ = 33 x 1000 = 33000 mℓ
Base area of the container
=
Volumeheight =
3300015 = 2200 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.4 - 1.1
= 1.3 ℓ
Volume of water that filled the container in 7 minutes when both taps were turned on
= 7 x 1.3
= 9.1 ℓ
Volume of water needed to fill the container
= 33 - 9.1
= 23.9 ℓ
Answer(s): (a) 2200 cm
2; (b) 23.9 ℓ