Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 65 cm by 23 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.4 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 0.4
= 1.6 ℓ
Volume of water poured into the Tank M from Tank L
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank M
= 65 x 23 x 25
= 37375 mℓ
37375 mℓ = 37375 ÷ 1000 = 37.375 ℓ
Volume of more water to fill Tank M
= 37.375 - 21.952 - 1.6
= 13.823 ℓ
Answer(s): (a) 1.6 ℓ; (b) 13.823 ℓ