Tank Z is a cubical container of edge 30 cm. It is completely filled with water. Tank A is a rectangular tank measuring 47 cm by 25 cm by 27 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 8 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
= 8 x 0.1
= 0.8 ℓ
Volume of water poured into the Tank A from Tank Z
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank A
= 47 x 25 x 27
= 31725 mℓ
31725 mℓ = 31725 ÷ 1000 = 31.725 ℓ
Volume of more water to fill Tank A
= 31.725 - 27 - 0.8
= 3.925 ℓ
Answer(s): (a) 0.8 ℓ; (b) 3.925 ℓ