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 27 cm by 28 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 9 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
= 9 x 0.6
= 5.4 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 27 x 28
= 39312 mℓ
39312 mℓ = 39312 ÷ 1000 = 39.312 ℓ
Volume of more water to fill Tank Z
= 39.312 - 27 - 5.4
= 6.912 ℓ
Answer(s): (a) 5.4 ℓ; (b) 6.912 ℓ