Tank F is a cubical container of edge 36 cm. It is completely filled with water. Tank G is a rectangular tank measuring 48 cm by 31 cm by 34 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank G after 5 minutes. Give your answer in litres.
- All the water in Tank F is then poured into Tank G without spilling. How much more water is needed to fill Tank G completely? Give your answer in litres.
(a)
Volume of water in Tank G filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank G from Tank F
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank G
= 48 x 31 x 34
= 50592 mℓ
50592 mℓ = 50592 ÷ 1000 = 50.592 ℓ
Volume of more water to fill Tank G
= 50.592 - 46.656 - 1
= 2.936 ℓ
Answer(s): (a) 1 ℓ; (b) 2.936 ℓ