Tank X is a cubical container of edge 24 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 61 cm by 16 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.1 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 0.1
= 1 ℓ
Volume of water poured into the Tank Y from Tank X
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank Y
= 61 x 16 x 20
= 19520 mℓ
19520 mℓ = 19520 ÷ 1000 = 19.52 ℓ
Volume of more water to fill Tank Y
= 19.52 - 13.824 - 1
= 4.696 ℓ
Answer(s): (a) 1 ℓ; (b) 4.696 ℓ