Tank Q is a cubical container of edge 24 cm. It is completely filled with water. Tank R is a rectangular tank measuring 45 cm by 18 cm by 21 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 4 minutes. Give your answer in litres.
- All the water in Tank Q is then poured into Tank R without spilling. How much more water is needed to fill Tank R completely? Give your answer in litres.
(a)
Volume of water in Tank R filled by the tap
= 4 x 0.6
= 2.4 ℓ
Volume of water poured into the Tank R from Tank Q
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank R
= 45 x 18 x 21
= 17010 mℓ
17010 mℓ = 17010 ÷ 1000 = 17.01 ℓ
Volume of more water to fill Tank R
= 17.01 - 13.824 - 2.4
= 0.786 ℓ
Answer(s): (a) 2.4 ℓ; (b) 0.786 ℓ