Tank L is a cubical container of edge 24 cm. It is completely filled with water. Tank M 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 0.8 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 12 minutes. Give your answer in litres.
- All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
(a)
Volume of water in Tank M filled by the tap
= 12 x 0.8
= 9.6 ℓ
Volume of water poured into the Tank M from Tank L
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank M
= 62 x 20 x 22
= 27280 mℓ
27280 mℓ = 27280 ÷ 1000 = 27.28 ℓ
Volume of more water to fill Tank M
= 27.28 - 13.824 - 9.6
= 3.856 ℓ
Answer(s): (a) 9.6 ℓ; (b) 3.856 ℓ