The figure shows an empty rectangular container with a capacity of 45 ℓ. The container has a height of 15 cm. Tap Y filled the container at a rate of 3.2 ℓ per minute. Tap Z drained water from the container at a rate of 1.5 ℓ per minute. Both taps were turned on for 15 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
45 ℓ = 45 x 1000 = 45000 mℓ
Base area of the container
=
Volumeheight =
4500015 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3.2 - 1.5
= 1.7 ℓ
Volume of water that filled the container in 15 minutes when both taps were turned on
= 15 x 1.7
= 25.5 ℓ
Volume of water needed to fill the container
= 45 - 25.5
= 19.5 ℓ
Answer(s): (a) 3000 cm
2; (b) 19.5 ℓ