Tank C is a cubical container of edge 23 cm. It is completely filled with water. Tank D is a rectangular tank measuring 57 cm by 19 cm by 20 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 7 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
= 7 x 1.2
= 8.4 ℓ
Volume of water poured into the Tank D from Tank C
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank D
= 57 x 19 x 20
= 21660 mℓ
21660 mℓ = 21660 ÷ 1000 = 21.66 ℓ
Volume of more water to fill Tank D
= 21.66 - 12.167 - 8.4
= 1.093 ℓ
Answer(s): (a) 8.4 ℓ; (b) 1.093 ℓ