Tank N is a cubical container of edge 28 cm. It is completely filled with water. Tank P is a rectangular tank measuring 60 cm by 25 cm by 26 cm. It is filled with water flowing from a tap at a rate of 1.7 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 9 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
= 9 x 1.7
= 15.3 ℓ
Volume of water poured into the Tank P from Tank N
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank P
= 60 x 25 x 26
= 39000 mℓ
39000 mℓ = 39000 ÷ 1000 = 39 ℓ
Volume of more water to fill Tank P
= 39 - 21.952 - 15.3
= 1.748 ℓ
Answer(s): (a) 15.3 ℓ; (b) 1.748 ℓ