Tank X is a cubical container of edge 29 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 54 cm by 23 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 10 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
= 10 x 0.4
= 4 ℓ
Volume of water poured into the Tank Y from Tank X
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank Y
= 54 x 23 x 25
= 31050 mℓ
31050 mℓ = 31050 ÷ 1000 = 31.05 ℓ
Volume of more water to fill Tank Y
= 31.05 - 24.389 - 4
= 2.661 ℓ
Answer(s): (a) 4 ℓ; (b) 2.661 ℓ