Tank N is a cubical container of edge 39 cm. It is completely filled with water. Tank P is a rectangular tank measuring 60 cm by 36 cm by 37 cm. It is filled with water flowing from a tap at a rate of 2.1 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 6 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
= 6 x 2.1
= 12.6 ℓ
Volume of water poured into the Tank P from Tank N
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank P
= 60 x 36 x 37
= 79920 mℓ
79920 mℓ = 79920 ÷ 1000 = 79.92 ℓ
Volume of more water to fill Tank P
= 79.92 - 59.319 - 12.6
= 8.001 ℓ
Answer(s): (a) 12.6 ℓ; (b) 8.001 ℓ