Tank J is a cubical container of edge 27 cm. It is completely filled with water. Tank K is a rectangular tank measuring 61 cm by 22 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank K after 12 minutes. Give your answer in litres.
- All the water in Tank J is then poured into Tank K without spilling. How much more water is needed to fill Tank K completely? Give your answer in litres.
(a)
Volume of water in Tank K filled by the tap
= 12 x 0.6
= 7.2 ℓ
Volume of water poured into the Tank K from Tank J
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank K
= 61 x 22 x 23
= 30866 mℓ
30866 mℓ = 30866 ÷ 1000 = 30.866 ℓ
Volume of more water to fill Tank K
= 30.866 - 19.683 - 7.2
= 3.983 ℓ
Answer(s): (a) 7.2 ℓ; (b) 3.983 ℓ