The figure shows an empty rectangular container with a capacity of 58 ℓ. The container has a height of 20 cm. Tap X filled the container at a rate of 3.3 ℓ per minute. Tap Y drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 14 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
58 ℓ = 58 x 1000 = 58000 mℓ
Base area of the container
=
Volumeheight =
5800020 = 2900 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.3 - 1.5
= 1.8 ℓ
Volume of water that filled the container in 14 minutes when both taps were turned on
= 14 x 1.8
= 25.2 ℓ
Volume of water needed to fill the container
= 58 - 25.2
= 32.8 ℓ
Answer(s): (a) 2900 cm
2; (b) 32.8 ℓ