Tank V is a cubical container of edge 27 cm. It is completely filled with water. Tank W is a rectangular tank measuring 54 cm by 22 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank W after 9 minutes. Give your answer in litres.
- All the water in Tank V is then poured into Tank W without spilling. How much more water is needed to fill Tank W completely? Give your answer in litres.
(a)
Volume of water in Tank W filled by the tap
= 9 x 1.1
= 9.9 ℓ
Volume of water poured into the Tank W from Tank V
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank W
= 54 x 22 x 25
= 29700 mℓ
29700 mℓ = 29700 ÷ 1000 = 29.7 ℓ
Volume of more water to fill Tank W
= 29.7 - 19.683 - 9.9
= 0.117 ℓ
Answer(s): (a) 9.9 ℓ; (b) 0.117 ℓ