Tank P is a cubical container of edge 27 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 57 cm by 21 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank Q after 5 minutes. Give your answer in litres.
- All the water in Tank P is then poured into Tank Q without spilling. How much more water is needed to fill Tank Q completely? Give your answer in litres.
(a)
Volume of water in Tank Q filled by the tap
= 5 x 0.2
= 1 ℓ
Volume of water poured into the Tank Q from Tank P
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank Q
= 57 x 21 x 25
= 29925 mℓ
29925 mℓ = 29925 ÷ 1000 = 29.925 ℓ
Volume of more water to fill Tank Q
= 29.925 - 19.683 - 1
= 9.242 ℓ
Answer(s): (a) 1 ℓ; (b) 9.242 ℓ