Tank P is a cubical container of edge 26 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 56 cm by 21 cm by 23 cm. It is filled with water flowing from a tap at a rate of 1.9 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 1.9
= 7.6 ℓ
Volume of water poured into the Tank Q from Tank P
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank Q
= 56 x 21 x 23
= 27048 mℓ
27048 mℓ = 27048 ÷ 1000 = 27.048 ℓ
Volume of more water to fill Tank Q
= 27.048 - 17.576 - 7.6
= 1.872 ℓ
Answer(s): (a) 7.6 ℓ; (b) 1.872 ℓ