The figure shows an empty rectangular tank with a capacity of 75 ℓ. The tank has a height of 30 cm. Tap G filled the tank at a rate of 2.9 ℓ per minute. Tap H drained water from the tank at a rate of 1.6 ℓ per minute. Both taps were turned on for 13 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
75 ℓ = 75 x 1000 = 75000 mℓ
Base area of the tank
=
Volumeheight =
7500030 = 2500 cm
2 (b)
Volume of water that filled the tank per minute when both taps were turned on
= 2.9 - 1.6
= 1.3 ℓ
Volume of water that filled the tank in 13 minutes when both taps were turned on
= 13 x 1.3
= 16.9 ℓ
Volume of water needed to fill the tank
= 75 - 16.9
= 58.1 ℓ
Answer(s): (a) 2500 cm
2; (b) 58.1 ℓ