Tank E is a cubical container of edge 37 cm. It is completely filled with water. Tank F is a rectangular tank measuring 49 cm by 31 cm by 35 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank F after 8 minutes. Give your answer in litres.
- All the water in Tank E is then poured into Tank F without spilling. How much more water is needed to fill Tank F completely? Give your answer in litres.
(a)
Volume of water in Tank F filled by the tap
= 8 x 0.1
= 0.8 ℓ
Volume of water poured into the Tank F from Tank E
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank F
= 49 x 31 x 35
= 53165 mℓ
53165 mℓ = 53165 ÷ 1000 = 53.165 ℓ
Volume of more water to fill Tank F
= 53.165 - 50.653 - 0.8
= 1.712 ℓ
Answer(s): (a) 0.8 ℓ; (b) 1.712 ℓ