The figure shows an empty rectangular container with a capacity of 87 ℓ. The container has a height of 29 cm. Tap E filled the container at a rate of 2.7 ℓ per minute. Tap F drained water from the container at a rate of 1.3 ℓ per minute. Both taps were turned on for 11 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
87 ℓ = 87 x 1000 = 87000 mℓ
Base area of the container
=
Volumeheight =
8700029 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 2.7 - 1.3
= 1.4 ℓ
Volume of water that filled the container in 11 minutes when both taps were turned on
= 11 x 1.4
= 15.4 ℓ
Volume of water needed to fill the container
= 87 - 15.4
= 71.6 ℓ
Answer(s): (a) 3000 cm
2; (b) 71.6 ℓ