Tank E is a cubical container of edge 24 cm. It is completely filled with water. Tank F is a rectangular tank measuring 62 cm by 16 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank F after 9 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
= 9 x 0.3
= 2.7 ℓ
Volume of water poured into the Tank F from Tank E
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank F
= 62 x 16 x 20
= 19840 mℓ
19840 mℓ = 19840 ÷ 1000 = 19.84 ℓ
Volume of more water to fill Tank F
= 19.84 - 13.824 - 2.7
= 3.316 ℓ
Answer(s): (a) 2.7 ℓ; (b) 3.316 ℓ