Tank Z is a cubical container of edge 35 cm. It is completely filled with water. Tank A is a rectangular tank measuring 59 cm by 29 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 11 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
= 11 x 0.5
= 5.5 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
= 59 x 29 x 33
= 56463 mℓ
56463 mℓ = 56463 ÷ 1000 = 56.463 ℓ
Volume of more water to fill Tank A
= 56.463 - 42.875 - 5.5
= 8.088 ℓ
Answer(s): (a) 5.5 ℓ; (b) 8.088 ℓ