Tank U is a cubical container of edge 23 cm. It is completely filled with water. Tank V is a rectangular tank measuring 64 cm by 15 cm by 19 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 4 minutes. Give your answer in litres.
- All the water in Tank U is then poured into Tank V without spilling. How much more water is needed to fill Tank V completely? Give your answer in litres.
(a)
Volume of water in Tank V filled by the tap
= 4 x 1.3
= 5.2 ℓ
Volume of water poured into the Tank V from Tank U
= 23 x 23 x 23
= 12167 mℓ
1000 mℓ = 1 ℓ
12167 mℓ = 12167 ÷ 1000 = 12.167 ℓ
Volume of Tank V
= 64 x 15 x 19
= 18240 mℓ
18240 mℓ = 18240 ÷ 1000 = 18.24 ℓ
Volume of more water to fill Tank V
= 18.24 - 12.167 - 5.2
= 0.873 ℓ
Answer(s): (a) 5.2 ℓ; (b) 0.873 ℓ