The figure shows an empty rectangular container with a capacity of 48 ℓ. The container has a height of 16 cm. Tap L filled the container at a rate of 3 ℓ per minute. Tap M drained water from the container at a rate of 1.9 ℓ per minute. Both taps were turned on for 13 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 =
4800016 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3 - 1.9
= 1.1 ℓ
Volume of water that filled the container in 13 minutes when both taps were turned on
= 13 x 1.1
= 14.3 ℓ
Volume of water needed to fill the container
= 48 - 14.3
= 33.7 ℓ
Answer(s): (a) 3000 cm
2; (b) 33.7 ℓ