Tank U is a cubical container of edge 27 cm. It is completely filled with water. Tank V is a rectangular tank measuring 52 cm by 20 cm by 24 cm. It is filled with water flowing from a tap at a rate of 0.8 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 0.8
= 3.2 ℓ
Volume of water poured into the Tank V from Tank U
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank V
= 52 x 20 x 24
= 24960 mℓ
24960 mℓ = 24960 ÷ 1000 = 24.96 ℓ
Volume of more water to fill Tank V
= 24.96 - 19.683 - 3.2
= 2.077 ℓ
Answer(s): (a) 3.2 ℓ; (b) 2.077 ℓ