Tank M is a cubical container of edge 24 cm. It is completely filled with water. Tank N is a rectangular tank measuring 53 cm by 18 cm by 22 cm. It is filled with water flowing from a tap at a rate of 0.8 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 0.8
= 4 ℓ
Volume of water poured into the Tank N from Tank M
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank N
= 53 x 18 x 22
= 20988 mℓ
20988 mℓ = 20988 ÷ 1000 = 20.988 ℓ
Volume of more water to fill Tank N
= 20.988 - 13.824 - 4
= 3.164 ℓ
Answer(s): (a) 4 ℓ; (b) 3.164 ℓ