Tank U is a cubical container of edge 33 cm. It is completely filled with water. Tank V is a rectangular tank measuring 61 cm by 28 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 11 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
= 11 x 0.4
= 4.4 ℓ
Volume of water poured into the Tank V from Tank U
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank V
= 61 x 28 x 31
= 52948 mℓ
52948 mℓ = 52948 ÷ 1000 = 52.948 ℓ
Volume of more water to fill Tank V
= 52.948 - 35.937 - 4.4
= 12.611 ℓ
Answer(s): (a) 4.4 ℓ; (b) 12.611 ℓ