Tank Y is a cubical container of edge 38 cm. It is completely filled with water. Tank Z is a rectangular tank measuring 58 cm by 34 cm by 35 cm. It is filled with water flowing from a tap at a rate of 2.9 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 2.9
= 11.6 ℓ
Volume of water poured into the Tank Z from Tank Y
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank Z
= 58 x 34 x 35
= 69020 mℓ
69020 mℓ = 69020 ÷ 1000 = 69.02 ℓ
Volume of more water to fill Tank Z
= 69.02 - 54.872 - 11.6
= 2.548 ℓ
Answer(s): (a) 11.6 ℓ; (b) 2.548 ℓ