Tank E is a cubical container of edge 35 cm. It is completely filled with water. Tank F is a rectangular tank measuring 63 cm by 31 cm by 32 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank F after 7 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
= 7 x 1.5
= 10.5 ℓ
Volume of water poured into the Tank F from Tank E
= 35 x 35 x 35
= 42875 mℓ
1000 mℓ = 1 ℓ
42875 mℓ = 42875 ÷ 1000 = 42.875 ℓ
Volume of Tank F
= 63 x 31 x 32
= 62496 mℓ
62496 mℓ = 62496 ÷ 1000 = 62.496 ℓ
Volume of more water to fill Tank F
= 62.496 - 42.875 - 10.5
= 9.121 ℓ
Answer(s): (a) 10.5 ℓ; (b) 9.121 ℓ