Tank Z is a cubical container of edge 37 cm. It is completely filled with water. Tank A is a rectangular tank measuring 55 cm by 33 cm by 34 cm. It is filled with water flowing from a tap at a rate of 0.8 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank A after 9 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
= 9 x 0.8
= 7.2 ℓ
Volume of water poured into the Tank A from Tank Z
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank A
= 55 x 33 x 34
= 61710 mℓ
61710 mℓ = 61710 ÷ 1000 = 61.71 ℓ
Volume of more water to fill Tank A
= 61.71 - 50.653 - 7.2
= 3.857 ℓ
Answer(s): (a) 7.2 ℓ; (b) 3.857 ℓ