Tank M is a cubical container of edge 37 cm. It is completely filled with water. Tank N is a rectangular tank measuring 62 cm by 29 cm by 32 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank N after 4 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
= 4 x 0.5
= 2 ℓ
Volume of water poured into the Tank N from Tank M
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank N
= 62 x 29 x 32
= 57536 mℓ
57536 mℓ = 57536 ÷ 1000 = 57.536 ℓ
Volume of more water to fill Tank N
= 57.536 - 50.653 - 2
= 4.883 ℓ
Answer(s): (a) 2 ℓ; (b) 4.883 ℓ