Tank Z is a cubical container of edge 31 cm. It is completely filled with water. Tank A is a rectangular tank measuring 52 cm by 25 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 7 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
= 7 x 0.5
= 3.5 ℓ
Volume of water poured into the Tank A from Tank Z
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank A
= 52 x 25 x 26
= 33800 mℓ
33800 mℓ = 33800 ÷ 1000 = 33.8 ℓ
Volume of more water to fill Tank A
= 33.8 - 29.791 - 3.5
= 0.509 ℓ
Answer(s): (a) 3.5 ℓ; (b) 0.509 ℓ