Tank C is a cubical container of edge 27 cm. It is completely filled with water. Tank D is a rectangular tank measuring 49 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 12 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
= 12 x 0.1
= 1.2 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
= 49 x 24 x 25
= 29400 mℓ
29400 mℓ = 29400 ÷ 1000 = 29.4 ℓ
Volume of more water to fill Tank D
= 29.4 - 19.683 - 1.2
= 8.517 ℓ
Answer(s): (a) 1.2 ℓ; (b) 8.517 ℓ