Tank X is a cubical container of edge 36 cm. It is completely filled with water. Tank Y is a rectangular tank measuring 59 cm by 30 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank Y after 7 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
= 7 x 0.1
= 0.7 ℓ
Volume of water poured into the Tank Y from Tank X
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank Y
= 59 x 30 x 31
= 54870 mℓ
54870 mℓ = 54870 ÷ 1000 = 54.87 ℓ
Volume of more water to fill Tank Y
= 54.87 - 46.656 - 0.7
= 7.514 ℓ
Answer(s): (a) 0.7 ℓ; (b) 7.514 ℓ