Tank Y is a cubical container of edge 30 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 52 cm by 25 cm by 28 cm. It is filled with water flowing from a tap at a rate of 0.2 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 0.2
= 0.8 ℓ
Volume of water poured into the Tank Z from Tank Y
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank Z
= 52 x 25 x 28
= 36400 mℓ
36400 mℓ = 36400 ÷ 1000 = 36.4 ℓ
Volume of more water to fill Tank Z
= 36.4 - 27 - 0.8
= 8.6 ℓ
Answer(s): (a) 0.8 ℓ; (b) 8.6 ℓ