Tank U is a cubical container of edge 24 cm. It is completely filled with water. Tank V is a rectangular tank measuring 58 cm by 17 cm by 20 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
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank V
= 58 x 17 x 20
= 19720 mℓ
19720 mℓ = 19720 ÷ 1000 = 19.72 ℓ
Volume of more water to fill Tank V
= 19.72 - 13.824 - 5.2
= 0.696 ℓ
Answer(s): (a) 5.2 ℓ; (b) 0.696 ℓ