The figure shows an empty rectangular container with a capacity of 63 ℓ. The container has a height of 21 cm. Tap H filled the container at a rate of 3 ℓ per minute. Tap J drained water from the container at a rate of 1.6 ℓ per minute. Both taps were turned on for 26 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
63 ℓ = 63 x 1000 = 63000 mℓ
Base area of the container
=
Volumeheight =
6300021 = 3000 cm
2 (b)
Volume of water that filled the container per minute when both taps were turned on
= 3 - 1.6
= 1.4 ℓ
Volume of water that filled the container in 26 minutes when both taps were turned on
= 26 x 1.4
= 36.4 ℓ
Volume of water needed to fill the container
= 63 - 36.4
= 26.6 ℓ
Answer(s): (a) 3000 cm
2; (b) 26.6 ℓ