Tank N is a cubical container of edge 22 cm. It is completely filled with water. Tank P is a rectangular tank measuring 46 cm by 17 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 10 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
= 10 x 0.1
= 1 ℓ
Volume of water poured into the Tank P from Tank N
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank P
= 46 x 17 x 20
= 15640 mℓ
15640 mℓ = 15640 ÷ 1000 = 15.64 ℓ
Volume of more water to fill Tank P
= 15.64 - 10.648 - 1
= 3.992 ℓ
Answer(s): (a) 1 ℓ; (b) 3.992 ℓ