Tank U is a cubical container of edge 26 cm. It is completely filled with water. Tank V is a rectangular tank measuring 62 cm by 23 cm by 24 cm. It is filled with water flowing from a tap at a rate of 0.4 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 5 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
= 5 x 0.4
= 2 ℓ
Volume of water poured into the Tank V from Tank U
= 26 x 26 x 26
= 17576 mℓ
1000 mℓ = 1 ℓ
17576 mℓ = 17576 ÷ 1000 = 17.576 ℓ
Volume of Tank V
= 62 x 23 x 24
= 34224 mℓ
34224 mℓ = 34224 ÷ 1000 = 34.224 ℓ
Volume of more water to fill Tank V
= 34.224 - 17.576 - 2
= 14.648 ℓ
Answer(s): (a) 2 ℓ; (b) 14.648 ℓ