Tank X is a cubical container of edge 25 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 58 cm by 22 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 9 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
= 9 x 0.7
= 6.3 ℓ
Volume of water poured into the Tank Y from Tank X
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank Y
= 58 x 22 x 23
= 29348 mℓ
29348 mℓ = 29348 ÷ 1000 = 29.348 ℓ
Volume of more water to fill Tank Y
= 29.348 - 15.625 - 6.3
= 7.423 ℓ
Answer(s): (a) 6.3 ℓ; (b) 7.423 ℓ