Tank Q is a cubical container of edge 35 cm. It is completely filled with water. Tank R is a rectangular tank measuring 62 cm by 30 cm by 31 cm. It is filled with water flowing from a tap at a rate of 1.7 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 8 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
= 8 x 1.7
= 13.6 ℓ
Volume of water poured into the Tank R from Tank Q
= 35 x 35 x 35
= 42875 mℓ
1000 mℓ = 1 ℓ
42875 mℓ = 42875 ÷ 1000 = 42.875 ℓ
Volume of Tank R
= 62 x 30 x 31
= 57660 mℓ
57660 mℓ = 57660 ÷ 1000 = 57.66 ℓ
Volume of more water to fill Tank R
= 57.66 - 42.875 - 13.6
= 1.185 ℓ
Answer(s): (a) 13.6 ℓ; (b) 1.185 ℓ