Tank N is a cubical container of edge 37 cm. It is completely filled with water. Tank P is a rectangular tank measuring 64 cm by 31 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 12 minutes. Give your answer in litres.
- All the water in Tank N is then poured into Tank P without spilling. How much more water is needed to fill Tank P completely? Give your answer in litres.
(a)
Volume of water in Tank P filled by the tap
= 12 x 0.4
= 4.8 ℓ
Volume of water poured into the Tank P from Tank N
= 37 x 37 x 37
= 50653 mℓ
1000 mℓ = 1 ℓ
50653 mℓ = 50653 ÷ 1000 = 50.653 ℓ
Volume of Tank P
= 64 x 31 x 33
= 65472 mℓ
65472 mℓ = 65472 ÷ 1000 = 65.472 ℓ
Volume of more water to fill Tank P
= 65.472 - 50.653 - 4.8
= 10.019 ℓ
Answer(s): (a) 4.8 ℓ; (b) 10.019 ℓ