Tank N is a cubical container of edge 36 cm. It is completely filled with water. Tank P is a rectangular tank measuring 65 cm by 31 cm by 34 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 5 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
= 5 x 1.5
= 7.5 ℓ
Volume of water poured into the Tank P from Tank N
= 36 x 36 x 36
= 46656 mℓ
1000 mℓ = 1 ℓ
46656 mℓ = 46656 ÷ 1000 = 46.656 ℓ
Volume of Tank P
= 65 x 31 x 34
= 68510 mℓ
68510 mℓ = 68510 ÷ 1000 = 68.51 ℓ
Volume of more water to fill Tank P
= 68.51 - 46.656 - 7.5
= 14.354 ℓ
Answer(s): (a) 7.5 ℓ; (b) 14.354 ℓ