Tank S is a cubical container of edge 27 cm. It is completely filled with water. Tank T is a rectangular tank measuring 52 cm by 18 cm by 22 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank T after 9 minutes. Give your answer in litres.
- All the water in Tank S is then poured into Tank T without spilling. How much more water is needed to fill Tank T completely? Give your answer in litres.
(a)
Volume of water in Tank T filled by the tap
= 9 x 0.1
= 0.9 ℓ
Volume of water poured into the Tank T from Tank S
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank T
= 52 x 18 x 22
= 20592 mℓ
20592 mℓ = 20592 ÷ 1000 = 20.592 ℓ
Volume of more water to fill Tank T
= 20.592 - 19.683 - 0.9
= 0.0089999999999989 ℓ
Answer(s): (a) 0.9 ℓ; (b) 0.0089999999999989 ℓ