Tank D is a cubical container of edge 34 cm. It is completely filled with water. Tank E is a rectangular tank measuring 56 cm by 28 cm by 30 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 6 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
= 6 x 1.2
= 7.2 ℓ
Volume of water poured into the Tank E from Tank D
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank E
= 56 x 28 x 30
= 47040 mℓ
47040 mℓ = 47040 ÷ 1000 = 47.04 ℓ
Volume of more water to fill Tank E
= 47.04 - 39.304 - 7.2
= 0.536 ℓ
Answer(s): (a) 7.2 ℓ; (b) 0.536 ℓ