Tank X is a cubical container of edge 39 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 63 cm by 34 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.9 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 0.9
= 4.5 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
= 63 x 34 x 36
= 77112 mℓ
77112 mℓ = 77112 ÷ 1000 = 77.112 ℓ
Volume of more water to fill Tank Y
= 77.112 - 59.319 - 4.5
= 13.293 ℓ
Answer(s): (a) 4.5 ℓ; (b) 13.293 ℓ