Tank Y is a cubical container of edge 37 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 57 cm by 31 cm by 34 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 4 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
= 4 x 1.1
= 4.4 ℓ
Volume of water poured into the Tank Z from Tank Y
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank Z
= 57 x 31 x 34
= 60078 mℓ
60078 mℓ = 60078 ÷ 1000 = 60.078 ℓ
Volume of more water to fill Tank Z
= 60.078 - 50.653 - 4.4
= 5.025 ℓ
Answer(s): (a) 4.4 ℓ; (b) 5.025 ℓ