Tank M is a cubical container of edge 33 cm. It is completely filled with water. Tank N is a rectangular tank measuring 49 cm by 28 cm by 29 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 N after 5 minutes. Give your answer in litres.
- All the water in Tank M is then poured into Tank N without spilling. How much more water is needed to fill Tank N completely? Give your answer in litres.
(a)
Volume of water in Tank N filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank N from Tank M
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank N
= 49 x 28 x 29
= 39788 mℓ
39788 mℓ = 39788 ÷ 1000 = 39.788 ℓ
Volume of more water to fill Tank N
= 39.788 - 35.937 - 1
= 2.851 ℓ
Answer(s): (a) 1 ℓ; (b) 2.851 ℓ