Tank P is a cubical container of edge 28 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 60 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank Q after 4 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
= 4 x 0.2
= 0.8 ℓ
Volume of water poured into the Tank Q from Tank P
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank Q
= 60 x 24 x 25
= 36000 mℓ
36000 mℓ = 36000 ÷ 1000 = 36 ℓ
Volume of more water to fill Tank Q
= 36 - 21.952 - 0.8
= 13.248 ℓ
Answer(s): (a) 0.8 ℓ; (b) 13.248 ℓ