The figure shows an empty rectangular container with a capacity of 35 ℓ. The container has a height of 25 cm. Tap H filled the container at a rate of 2.7 ℓ per minute. Tap J drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 21 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
35 ℓ = 35 x 1000 = 35000 mℓ
Base area of the container
=
Volumeheight =
3500025 = 1400 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.7 - 1.5
= 1.2 ℓ
Volume of water that filled the container in 21 minutes when both taps were turned on
= 21 x 1.2
= 25.2 ℓ
Volume of water needed to fill the container
= 35 - 25.2
= 9.8 ℓ
Answer(s): (a) 1400 cm
2; (b) 9.8 ℓ