Tank E is a cubical container of edge 30 cm. It is completely filled with water. Tank F is a rectangular tank measuring 62 cm by 24 cm by 28 cm. It is filled with water flowing from a tap at a rate of 1.5 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 1.5
= 12 ℓ
Volume of water poured into the Tank F from Tank E
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank F
= 62 x 24 x 28
= 41664 mℓ
41664 mℓ = 41664 ÷ 1000 = 41.664 ℓ
Volume of more water to fill Tank F
= 41.664 - 27 - 12
= 2.664 ℓ
Answer(s): (a) 12 ℓ; (b) 2.664 ℓ