The figure shows an empty rectangular container with a capacity of 48 ℓ. The container has a height of 20 cm. Tap Y filled the container at a rate of 2.8 ℓ per minute. Tap Z drained water from the container at a rate of 1.4 ℓ per minute. Both taps were turned on for 8 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
48 ℓ = 48 x 1000 = 48000 mℓ
Base area of the container
=
Volumeheight =
4800020 = 2400 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.8 - 1.4
= 1.4 ℓ
Volume of water that filled the container in 8 minutes when both taps were turned on
= 8 x 1.4
= 11.2 ℓ
Volume of water needed to fill the container
= 48 - 11.2
= 36.8 ℓ
Answer(s): (a) 2400 cm
2; (b) 36.8 ℓ