Tank X is a cubical container of edge 21 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 60 cm by 16 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 6 minutes. Give your answer in litres.
- All the water in Tank X is then poured into Tank Y without spilling. How much more water is needed to fill Tank Y completely? Give your answer in litres.
(a)
Volume of water in Tank Y filled by the tap
= 6 x 0.1
= 0.6 ℓ
Volume of water poured into the Tank Y from Tank X
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank Y
= 60 x 16 x 18
= 17280 mℓ
17280 mℓ = 17280 ÷ 1000 = 17.28 ℓ
Volume of more water to fill Tank Y
= 17.28 - 9.261 - 0.6
= 7.419 ℓ
Answer(s): (a) 0.6 ℓ; (b) 7.419 ℓ