Tank R is a cubical container of edge 33 cm. It is completely filled with water. Tank S is a rectangular tank measuring 62 cm by 28 cm by 30 cm. It is filled with water flowing from a tap at a rate of 2.7 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 5 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
= 5 x 2.7
= 13.5 ℓ
Volume of water poured into the Tank S from Tank R
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank S
= 62 x 28 x 30
= 52080 mℓ
52080 mℓ = 52080 ÷ 1000 = 52.08 ℓ
Volume of more water to fill Tank S
= 52.08 - 35.937 - 13.5
= 2.643 ℓ
Answer(s): (a) 13.5 ℓ; (b) 2.643 ℓ