Tank M is a cubical container of edge 27 cm. It is completely filled with water. Tank N is a rectangular tank measuring 62 cm by 20 cm by 22 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank N after 9 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
= 9 x 0.4
= 3.6 ℓ
Volume of water poured into the Tank N from Tank M
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank N
= 62 x 20 x 22
= 27280 mℓ
27280 mℓ = 27280 ÷ 1000 = 27.28 ℓ
Volume of more water to fill Tank N
= 27.28 - 19.683 - 3.6
= 3.997 ℓ
Answer(s): (a) 3.6 ℓ; (b) 3.997 ℓ