Tank N is a cubical container of edge 29 cm. It is completely filled with water. Tank P is a rectangular tank measuring 54 cm by 24 cm by 27 cm. It is filled with water flowing from a tap at a rate of 1.9 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 4 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
= 4 x 1.9
= 7.6 ℓ
Volume of water poured into the Tank P from Tank N
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank P
= 54 x 24 x 27
= 34992 mℓ
34992 mℓ = 34992 ÷ 1000 = 34.992 ℓ
Volume of more water to fill Tank P
= 34.992 - 24.389 - 7.6
= 3.003 ℓ
Answer(s): (a) 7.6 ℓ; (b) 3.003 ℓ