The figure shows an empty rectangular container with a capacity of 69 ℓ. The container has a height of 30 cm. Tap K filled the container at a rate of 2.7 ℓ per minute. Tap L drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 15 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
69 ℓ = 69 x 1000 = 69000 mℓ
Base area of the container
=
Volumeheight =
6900030 = 2300 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.7 - 1.6
= 1.1 ℓ
Volume of water that filled the container in 15 minutes when both taps were turned on
= 15 x 1.1
= 16.5 ℓ
Volume of water needed to fill the container
= 69 - 16.5
= 52.5 ℓ
Answer(s): (a) 2300 cm
2; (b) 52.5 ℓ