Tank Z is a cubical container of edge 35 cm. It is completely filled with water. Tank A is a rectangular tank measuring 51 cm by 29 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.9 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 5 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
= 5 x 0.9
= 4.5 ℓ
Volume of water poured into the Tank A from Tank Z
= 35 x 35 x 35
= 42875 mℓ
1000 mℓ = 1 ℓ
42875 mℓ = 42875 ÷ 1000 = 42.875 ℓ
Volume of Tank A
= 51 x 29 x 33
= 48807 mℓ
48807 mℓ = 48807 ÷ 1000 = 48.807 ℓ
Volume of more water to fill Tank A
= 48.807 - 42.875 - 4.5
= 1.432 ℓ
Answer(s): (a) 4.5 ℓ; (b) 1.432 ℓ