Tank N is a cubical container of edge 39 cm. It is completely filled with water. Tank P is a rectangular tank measuring 65 cm by 32 cm by 34 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 11 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
= 11 x 0.3
= 3.3 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
= 65 x 32 x 34
= 70720 mℓ
70720 mℓ = 70720 ÷ 1000 = 70.72 ℓ
Volume of more water to fill Tank P
= 70.72 - 59.319 - 3.3
= 8.101 ℓ
Answer(s): (a) 3.3 ℓ; (b) 8.101 ℓ