Tank M is a cubical container of edge 27 cm. It is completely filled with water. Tank N is a rectangular tank measuring 50 cm by 20 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank N after 4 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
= 4 x 0.1
= 0.4 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
= 50 x 20 x 23
= 23000 mℓ
23000 mℓ = 23000 ÷ 1000 = 23 ℓ
Volume of more water to fill Tank N
= 23 - 19.683 - 0.4
= 2.917 ℓ
Answer(s): (a) 0.4 ℓ; (b) 2.917 ℓ