Tank Y is a cubical container of edge 40 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 56 cm by 34 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 10 minutes. Give your answer in litres.
- All the water in Tank Y is then poured into Tank Z without spilling. How much more water is needed to fill Tank Z completely? Give your answer in litres.
(a)
Volume of water in Tank Z filled by the tap
= 10 x 0.3
= 3 ℓ
Volume of water poured into the Tank Z from Tank Y
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank Z
= 56 x 34 x 36
= 68544 mℓ
68544 mℓ = 68544 ÷ 1000 = 68.544 ℓ
Volume of more water to fill Tank Z
= 68.544 - 64 - 3
= 1.544 ℓ
Answer(s): (a) 3 ℓ; (b) 1.544 ℓ