Tank R is a cubical container of edge 28 cm. It is completely filled with water. Tank S is a rectangular tank measuring 61 cm by 24 cm by 26 cm. It is filled with water flowing from a tap at a rate of 1.4 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank S after 7 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
= 7 x 1.4
= 9.8 ℓ
Volume of water poured into the Tank S from Tank R
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank S
= 61 x 24 x 26
= 38064 mℓ
38064 mℓ = 38064 ÷ 1000 = 38.064 ℓ
Volume of more water to fill Tank S
= 38.064 - 21.952 - 9.8
= 6.312 ℓ
Answer(s): (a) 9.8 ℓ; (b) 6.312 ℓ