Tank Q is a cubical container of edge 27 cm. It is completely filled with water. Tank R is a rectangular tank measuring 65 cm by 21 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 7 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
= 7 x 1.5
= 10.5 ℓ
Volume of water poured into the Tank R from Tank Q
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank R
= 65 x 21 x 25
= 34125 mℓ
34125 mℓ = 34125 ÷ 1000 = 34.125 ℓ
Volume of more water to fill Tank R
= 34.125 - 19.683 - 10.5
= 3.942 ℓ
Answer(s): (a) 10.5 ℓ; (b) 3.942 ℓ