Tank Q is a cubical container of edge 30 cm. It is completely filled with water. Tank R is a rectangular tank measuring 55 cm by 22 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 5 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
= 5 x 0.5
= 2.5 ℓ
Volume of water poured into the Tank R from Tank Q
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank R
= 55 x 22 x 25
= 30250 mℓ
30250 mℓ = 30250 ÷ 1000 = 30.25 ℓ
Volume of more water to fill Tank R
= 30.25 - 27 - 2.5
= 0.75 ℓ
Answer(s): (a) 2.5 ℓ; (b) 0.75 ℓ