Tank R is a cubical container of edge 30 cm. It is completely filled with water. Tank S is a rectangular tank measuring 63 cm by 23 cm by 27 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 10 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
= 10 x 1.2
= 12 ℓ
Volume of water poured into the Tank S from Tank R
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank S
= 63 x 23 x 27
= 39123 mℓ
39123 mℓ = 39123 ÷ 1000 = 39.123 ℓ
Volume of more water to fill Tank S
= 39.123 - 27 - 12
= 0.123 ℓ
Answer(s): (a) 12 ℓ; (b) 0.123 ℓ