Tank M is a cubical container of edge 29 cm. It is completely filled with water. Tank N is a rectangular tank measuring 55 cm by 26 cm by 27 cm. It is filled with water flowing from a tap at a rate of 2.2 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank N after 6 minutes. Give your answer in litres.
- All the water in Tank M is then poured into Tank N without spilling. How much more water is needed to fill Tank N completely? Give your answer in litres.
(a)
Volume of water in Tank N filled by the tap
= 6 x 2.2
= 13.2 ℓ
Volume of water poured into the Tank N from Tank M
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank N
= 55 x 26 x 27
= 38610 mℓ
38610 mℓ = 38610 ÷ 1000 = 38.61 ℓ
Volume of more water to fill Tank N
= 38.61 - 24.389 - 13.2
= 1.021 ℓ
Answer(s): (a) 13.2 ℓ; (b) 1.021 ℓ