Tank Y is a cubical container of edge 20 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 60 cm by 11 cm by 15 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank Z after 12 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
= 12 x 0.1
= 1.2 ℓ
Volume of water poured into the Tank Z from Tank Y
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank Z
= 60 x 11 x 15
= 9900 mℓ
9900 mℓ = 9900 ÷ 1000 = 9.9 ℓ
Volume of more water to fill Tank Z
= 9.9 - 8 - 1.2
= 0.7 ℓ
Answer(s): (a) 1.2 ℓ; (b) 0.7 ℓ