Tank F is a cubical container of edge 31 cm. It is completely filled with water. Tank G is a rectangular tank measuring 61 cm by 28 cm by 29 cm. It is filled with water flowing from a tap at a rate of 2.9 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 2.9
= 14.5 ℓ
Volume of water poured into the Tank G from Tank F
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank G
= 61 x 28 x 29
= 49532 mℓ
49532 mℓ = 49532 ÷ 1000 = 49.532 ℓ
Volume of more water to fill Tank G
= 49.532 - 29.791 - 14.5
= 5.241 ℓ
Answer(s): (a) 14.5 ℓ; (b) 5.241 ℓ