Tank D is a cubical container of edge 27 cm. It is completely filled with water. Tank E is a rectangular tank measuring 64 cm by 21 cm by 25 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 E after 5 minutes. Give your answer in litres.
- All the water in Tank D is then poured into Tank E without spilling. How much more water is needed to fill Tank E completely? Give your answer in litres.
(a)
Volume of water in Tank E filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank E from Tank D
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank E
= 64 x 21 x 25
= 33600 mℓ
33600 mℓ = 33600 ÷ 1000 = 33.6 ℓ
Volume of more water to fill Tank E
= 33.6 - 19.683 - 1
= 12.917 ℓ
Answer(s): (a) 1 ℓ; (b) 12.917 ℓ