Tank R is a cubical container of edge 28 cm. It is completely filled with water. Tank S is a rectangular tank measuring 59 cm by 23 cm by 25 cm. It is filled with water flowing from a tap at a rate of 0.7 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 0.7
= 4.9 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
= 59 x 23 x 25
= 33925 mℓ
33925 mℓ = 33925 ÷ 1000 = 33.925 ℓ
Volume of more water to fill Tank S
= 33.925 - 21.952 - 4.9
= 7.073 ℓ
Answer(s): (a) 4.9 ℓ; (b) 7.073 ℓ