Tank Y is a cubical container of edge 21 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 46 cm by 14 cm by 16 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 5 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
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank Z from Tank Y
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank Z
= 46 x 14 x 16
= 10304 mℓ
10304 mℓ = 10304 ÷ 1000 = 10.304 ℓ
Volume of more water to fill Tank Z
= 10.304 - 9.261 - 1
= 0.043000000000001 ℓ
Answer(s): (a) 1 ℓ; (b) 0.043000000000001 ℓ