Tank R is a cubical container of edge 20 cm. It is completely filled with water. Tank S is a rectangular tank measuring 52 cm by 16 cm by 17 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 12 minutes. Give your answer in litres.
- All the water in Tank R is then poured into Tank S without spilling. How much more water is needed to fill Tank S completely? Give your answer in litres.
(a)
Volume of water in Tank S filled by the tap
= 12 x 0.5
= 6 ℓ
Volume of water poured into the Tank S from Tank R
= 20 x 20 x 20
= 8000 mℓ
1000 mℓ = 1 ℓ
8000 mℓ = 8000 ÷ 1000 = 8 ℓ
Volume of Tank S
= 52 x 16 x 17
= 14144 mℓ
14144 mℓ = 14144 ÷ 1000 = 14.144 ℓ
Volume of more water to fill Tank S
= 14.144 - 8 - 6
= 0.144 ℓ
Answer(s): (a) 6 ℓ; (b) 0.144 ℓ