Tank V is a cubical container of edge 25 cm. It is completely filled with water. Tank W is a rectangular tank measuring 58 cm by 21 cm by 23 cm. It is filled with water flowing from a tap at a rate of 1.6 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank W after 7 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
= 7 x 1.6
= 11.2 ℓ
Volume of water poured into the Tank W from Tank V
= 25 x 25 x 25
= 15625 mℓ
1000 mℓ = 1 ℓ
15625 mℓ = 15625 ÷ 1000 = 15.625 ℓ
Volume of Tank W
= 58 x 21 x 23
= 28014 mℓ
28014 mℓ = 28014 ÷ 1000 = 28.014 ℓ
Volume of more water to fill Tank W
= 28.014 - 15.625 - 11.2
= 1.189 ℓ
Answer(s): (a) 11.2 ℓ; (b) 1.189 ℓ