Tank N is a cubical container of edge 34 cm. It is completely filled with water. Tank P is a rectangular tank measuring 64 cm by 28 cm by 30 cm. It is filled with water flowing from a tap at a rate of 0.1 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 0.1
= 1.2 ℓ
Volume of water poured into the Tank P from Tank N
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank P
= 64 x 28 x 30
= 53760 mℓ
53760 mℓ = 53760 ÷ 1000 = 53.76 ℓ
Volume of more water to fill Tank P
= 53.76 - 39.304 - 1.2
= 13.256 ℓ
Answer(s): (a) 1.2 ℓ; (b) 13.256 ℓ