Tank L is a cubical container of edge 34 cm. It is completely filled with water. Tank M is a rectangular tank measuring 63 cm by 27 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.9 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 10 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
= 10 x 0.9
= 9 ℓ
Volume of water poured into the Tank M from Tank L
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank M
= 63 x 27 x 31
= 52731 mℓ
52731 mℓ = 52731 ÷ 1000 = 52.731 ℓ
Volume of more water to fill Tank M
= 52.731 - 39.304 - 9
= 4.427 ℓ
Answer(s): (a) 9 ℓ; (b) 4.427 ℓ