Tank X is a cubical container of edge 39 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 61 cm by 36 cm by 37 cm. It is filled with water flowing from a tap at a rate of 2.5 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 5 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
= 5 x 2.5
= 12.5 ℓ
Volume of water poured into the Tank Y from Tank X
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank Y
= 61 x 36 x 37
= 81252 mℓ
81252 mℓ = 81252 ÷ 1000 = 81.252 ℓ
Volume of more water to fill Tank Y
= 81.252 - 59.319 - 12.5
= 9.433 ℓ
Answer(s): (a) 12.5 ℓ; (b) 9.433 ℓ