Tank P is a cubical container of edge 25 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 52 cm by 19 cm by 21 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank Q after 8 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
= 8 x 0.3
= 2.4 ℓ
Volume of water poured into the Tank Q from Tank P
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank Q
= 52 x 19 x 21
= 20748 mℓ
20748 mℓ = 20748 ÷ 1000 = 20.748 ℓ
Volume of more water to fill Tank Q
= 20.748 - 15.625 - 2.4
= 2.723 ℓ
Answer(s): (a) 2.4 ℓ; (b) 2.723 ℓ