Tank Y is a cubical container of edge 34 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 48 cm by 31 cm by 32 cm. It is filled with water flowing from a tap at a rate of 1.6 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 1.6
= 6.4 ℓ
Volume of water poured into the Tank Z from Tank Y
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank Z
= 48 x 31 x 32
= 47616 mℓ
47616 mℓ = 47616 ÷ 1000 = 47.616 ℓ
Volume of more water to fill Tank Z
= 47.616 - 39.304 - 6.4
= 1.912 ℓ
Answer(s): (a) 6.4 ℓ; (b) 1.912 ℓ