Tank X is a cubical container of edge 26 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 65 cm by 19 cm by 22 cm. It is filled with water flowing from a tap at a rate of 0.9 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 0.9
= 9 ℓ
Volume of water poured into the Tank Y from Tank X
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank Y
= 65 x 19 x 22
= 27170 mℓ
27170 mℓ = 27170 ÷ 1000 = 27.17 ℓ
Volume of more water to fill Tank Y
= 27.17 - 17.576 - 9
= 0.594 ℓ
Answer(s): (a) 9 ℓ; (b) 0.594 ℓ