The figure shows an empty rectangular tank with a capacity of 48 ℓ. The tank has a height of 24 cm. Tap Y filled the tank at a rate of 2.9 ℓ per minute. Tap Z drained water from the tank at a rate of 1.4 ℓ per minute. Both taps were turned on for 24 minutes and then turned off.
- What is the base area of the tank?
- After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
(a)
1 ℓ = 1000 mℓ
48 ℓ = 48 x 1000 = 48000 mℓ
Base area of the tank
=
Volumeheight =
4800024 = 2000 cm
2 (b)
Volume of water that filled the tank per minute when both taps were turned on
= 2.9 - 1.4
= 1.5 ℓ
Volume of water that filled the tank in 24 minutes when both taps were turned on
= 24 x 1.5
= 36 ℓ
Volume of water needed to fill the tank
= 48 - 36
= 12 ℓ
Answer(s): (a) 2000 cm
2; (b) 12 ℓ