Tank Z is a cubical container of edge 39 cm. It is completely filled with water. Tank A is a rectangular tank measuring 57 cm by 34 cm by 35 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 4 minutes. Give your answer in litres.
- All the water in Tank Z is then poured into Tank A without spilling. How much more water is needed to fill Tank A completely? Give your answer in litres.
(a)
Volume of water in Tank A filled by the tap
= 4 x 0.5
= 2 ℓ
Volume of water poured into the Tank A from Tank Z
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank A
= 57 x 34 x 35
= 67830 mℓ
67830 mℓ = 67830 ÷ 1000 = 67.83 ℓ
Volume of more water to fill Tank A
= 67.83 - 59.319 - 2
= 6.511 ℓ
Answer(s): (a) 2 ℓ; (b) 6.511 ℓ