Tank X is a cubical container of edge 40 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 56 cm by 36 cm by 38 cm. It is filled with water flowing from a tap at a rate of 0.5 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 0.5
= 5 ℓ
Volume of water poured into the Tank Y from Tank X
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank Y
= 56 x 36 x 38
= 76608 mℓ
76608 mℓ = 76608 ÷ 1000 = 76.608 ℓ
Volume of more water to fill Tank Y
= 76.608 - 64 - 5
= 7.608 ℓ
Answer(s): (a) 5 ℓ; (b) 7.608 ℓ