Tank P is a cubical container of edge 34 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 60 cm by 28 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank Q after 9 minutes. Give your answer in litres.
- All the water in Tank P is then poured into Tank Q without spilling. How much more water is needed to fill Tank Q completely? Give your answer in litres.
(a)
Volume of water in Tank Q filled by the tap
= 9 x 0.1
= 0.9 ℓ
Volume of water poured into the Tank Q from Tank P
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank Q
= 60 x 28 x 31
= 52080 mℓ
52080 mℓ = 52080 ÷ 1000 = 52.08 ℓ
Volume of more water to fill Tank Q
= 52.08 - 39.304 - 0.9
= 11.876 ℓ
Answer(s): (a) 0.9 ℓ; (b) 11.876 ℓ