Tank L is a cubical container of edge 33 cm. It is completely filled with water. Tank M is a rectangular tank measuring 53 cm by 27 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 6 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
= 6 x 0.2
= 1.2 ℓ
Volume of water poured into the Tank M from Tank L
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank M
= 53 x 27 x 29
= 41499 mℓ
41499 mℓ = 41499 ÷ 1000 = 41.499 ℓ
Volume of more water to fill Tank M
= 41.499 - 35.937 - 1.2
= 4.362 ℓ
Answer(s): (a) 1.2 ℓ; (b) 4.362 ℓ