Tank U is a cubical container of edge 35 cm. It is completely filled with water. Tank V is a rectangular tank measuring 61 cm by 29 cm by 33 cm. It is filled with water flowing from a tap at a rate of 0.9 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 12 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
= 12 x 0.9
= 10.8 ℓ
Volume of water poured into the Tank V from Tank U
= 35 x 35 x 35
= 42875 mℓ
1000 mℓ = 1 ℓ
42875 mℓ = 42875 ÷ 1000 = 42.875 ℓ
Volume of Tank V
= 61 x 29 x 33
= 58377 mℓ
58377 mℓ = 58377 ÷ 1000 = 58.377 ℓ
Volume of more water to fill Tank V
= 58.377 - 42.875 - 10.8
= 4.702 ℓ
Answer(s): (a) 10.8 ℓ; (b) 4.702 ℓ