Tank L is a cubical container of edge 31 cm. It is completely filled with water. Tank M is a rectangular tank measuring 63 cm by 25 cm by 28 cm. It is filled with water flowing from a tap at a rate of 2.8 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 4 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
= 4 x 2.8
= 11.2 ℓ
Volume of water poured into the Tank M from Tank L
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank M
= 63 x 25 x 28
= 44100 mℓ
44100 mℓ = 44100 ÷ 1000 = 44.1 ℓ
Volume of more water to fill Tank M
= 44.1 - 29.791 - 11.2
= 3.109 ℓ
Answer(s): (a) 11.2 ℓ; (b) 3.109 ℓ