Tank N is a cubical container of edge 40 cm. It is completely filled with water. Tank P is a rectangular tank measuring 59 cm by 33 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank P after 8 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
= 8 x 0.1
= 0.8 ℓ
Volume of water poured into the Tank P from Tank N
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank P
= 59 x 33 x 36
= 70092 mℓ
70092 mℓ = 70092 ÷ 1000 = 70.092 ℓ
Volume of more water to fill Tank P
= 70.092 - 64 - 0.8
= 5.292 ℓ
Answer(s): (a) 0.8 ℓ; (b) 5.292 ℓ