Tank F is a cubical container of edge 38 cm. It is completely filled with water. Tank G is a rectangular tank measuring 54 cm by 34 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank G after 4 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
= 4 x 0.8
= 3.2 ℓ
Volume of water poured into the Tank G from Tank F
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank G
= 54 x 34 x 36
= 66096 mℓ
66096 mℓ = 66096 ÷ 1000 = 66.096 ℓ
Volume of more water to fill Tank G
= 66.096 - 54.872 - 3.2
= 8.024 ℓ
Answer(s): (a) 3.2 ℓ; (b) 8.024 ℓ