Tank C is a cubical container of edge 20 cm. It is completely filled with water. Tank D is a rectangular tank measuring 53 cm by 15 cm by 17 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank D after 5 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
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank D from Tank C
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank D
= 53 x 15 x 17
= 13515 mℓ
13515 mℓ = 13515 ÷ 1000 = 13.515 ℓ
Volume of more water to fill Tank D
= 13.515 - 8 - 1
= 4.515 ℓ
Answer(s): (a) 1 ℓ; (b) 4.515 ℓ