Tank C is a cubical container of edge 27 cm. It is completely filled with water. Tank D is a rectangular tank measuring 47 cm by 23 cm by 24 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 9 minutes. Give your answer in litres.
- All the water in Tank C is then poured into Tank D without spilling. How much more water is needed to fill Tank D completely? Give your answer in litres.
(a)
Volume of water in Tank D filled by the tap
= 9 x 0.5
= 4.5 ℓ
Volume of water poured into the Tank D from Tank C
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank D
= 47 x 23 x 24
= 25944 mℓ
25944 mℓ = 25944 ÷ 1000 = 25.944 ℓ
Volume of more water to fill Tank D
= 25.944 - 19.683 - 4.5
= 1.761 ℓ
Answer(s): (a) 4.5 ℓ; (b) 1.761 ℓ