Tank U is a cubical container of edge 30 cm. It is completely filled with water. Tank V is a rectangular tank measuring 63 cm by 24 cm by 28 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 6 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
= 6 x 0.5
= 3 ℓ
Volume of water poured into the Tank V from Tank U
= 30 x 30 x 30
= 27000 mℓ
1000 mℓ = 1 ℓ
27000 mℓ = 27000 ÷ 1000 = 27 ℓ
Volume of Tank V
= 63 x 24 x 28
= 42336 mℓ
42336 mℓ = 42336 ÷ 1000 = 42.336 ℓ
Volume of more water to fill Tank V
= 42.336 - 27 - 3
= 12.336 ℓ
Answer(s): (a) 3 ℓ; (b) 12.336 ℓ