Tank M is a cubical container of edge 20 cm. It is completely filled with water. Tank N is a rectangular tank measuring 64 cm by 17 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.9 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank N after 7 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
= 7 x 0.9
= 6.3 ℓ
Volume of water poured into the Tank N from Tank M
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank N
= 64 x 17 x 18
= 19584 mℓ
19584 mℓ = 19584 ÷ 1000 = 19.584 ℓ
Volume of more water to fill Tank N
= 19.584 - 8 - 6.3
= 5.284 ℓ
Answer(s): (a) 6.3 ℓ; (b) 5.284 ℓ