Tank X is a cubical container of edge 34 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 60 cm by 28 cm by 30 cm. It is filled with water flowing from a tap at a rate of 1.3 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 1.3
= 7.8 ℓ
Volume of water poured into the Tank Y from Tank X
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank Y
= 60 x 28 x 30
= 50400 mℓ
50400 mℓ = 50400 ÷ 1000 = 50.4 ℓ
Volume of more water to fill Tank Y
= 50.4 - 39.304 - 7.8
= 3.296 ℓ
Answer(s): (a) 7.8 ℓ; (b) 3.296 ℓ