Tank N is a cubical container of edge 26 cm. It is completely filled with water. Tank P is a rectangular tank measuring 57 cm by 20 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.4 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 0.4
= 2 ℓ
Volume of water poured into the Tank P from Tank N
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank P
= 57 x 20 x 23
= 26220 mℓ
26220 mℓ = 26220 ÷ 1000 = 26.22 ℓ
Volume of more water to fill Tank P
= 26.22 - 17.576 - 2
= 6.644 ℓ
Answer(s): (a) 2 ℓ; (b) 6.644 ℓ