The figure not drawn to scale shows a cubical tank which is
310 filled with water.
- What is the volume of water needed to fill up the tank to the brim?
- Water is added to the tank at a rate of 20 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
(a)
Fraction of water needed to fill the tank to the brim
= 1 -
310 =
710 Volume of water needed to fill the tank to the brim
=
710 x 200 x 200 x 200
= 5600000 mℓ
1000 mℓ = 1 ℓ
5600000 ÷ 1000 = 5600 ℓ
(b)
Time needed to fill the tank completely
= 5600 ÷ 20
= 280 min
60 min = 1 h
280 min = 4 h 40 min
Answer(s): (a) 5600 ℓ; (b) 4 h 40 min