Tank P is a cubical container of edge 38 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 62 cm by 30 cm by 34 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank Q after 12 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
= 12 x 0.1
= 1.2 ℓ
Volume of water poured into the Tank Q from Tank P
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank Q
= 62 x 30 x 34
= 63240 mℓ
63240 mℓ = 63240 ÷ 1000 = 63.24 ℓ
Volume of more water to fill Tank Q
= 63.24 - 54.872 - 1.2
= 7.168 ℓ
Answer(s): (a) 1.2 ℓ; (b) 7.168 ℓ