The figure shows an empty rectangular tank with a capacity of 32 ℓ. The tank has a height of 16 cm. Tap E filled the tank at a rate of 3 ℓ per minute. Tap F drained water from the tank at a rate of 1.9 ℓ per minute. Both taps were turned on for 23 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
32 ℓ = 32 x 1000 = 32000 mℓ
Base area of the tank
=
Volumeheight =
3200016 = 2000 cm
2 (b)
Volume of water that filled the tank per minute when both taps were turned on
= 3 - 1.9
= 1.1 ℓ
Volume of water that filled the tank in 23 minutes when both taps were turned on
= 23 x 1.1
= 25.3 ℓ
Volume of water needed to fill the tank
= 32 - 25.3
= 6.7 ℓ
Answer(s): (a) 2000 cm
2; (b) 6.7 ℓ