Tank X is a cubical container of edge 27 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 50 cm by 19 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 8 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
= 8 x 0.1
= 0.8 ℓ
Volume of water poured into the Tank Y from Tank X
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank Y
= 50 x 19 x 23
= 21850 mℓ
21850 mℓ = 21850 ÷ 1000 = 21.85 ℓ
Volume of more water to fill Tank Y
= 21.85 - 19.683 - 0.8
= 1.367 ℓ
Answer(s): (a) 0.8 ℓ; (b) 1.367 ℓ