Tank A is a cubical container of edge 37 cm. It is completely filled with water. Tank B is a rectangular tank measuring 60 cm by 32 cm by 35 cm. It is filled with water flowing from a tap at a rate of 1.7 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank B after 6 minutes. Give your answer in litres.
- All the water in Tank A is then poured into Tank B without spilling. How much more water is needed to fill Tank B completely? Give your answer in litres.
(a)
Volume of water in Tank B filled by the tap
= 6 x 1.7
= 10.2 ℓ
Volume of water poured into the Tank B from Tank A
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank B
= 60 x 32 x 35
= 67200 mℓ
67200 mℓ = 67200 ÷ 1000 = 67.2 ℓ
Volume of more water to fill Tank B
= 67.2 - 50.653 - 10.2
= 6.347 ℓ
Answer(s): (a) 10.2 ℓ; (b) 6.347 ℓ