Tank U is a cubical container of edge 31 cm. It is completely filled with water. Tank V is a rectangular tank measuring 58 cm by 25 cm by 29 cm. It is filled with water flowing from a tap at a rate of 0.9 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 0.9
= 9.9 ℓ
Volume of water poured into the Tank V from Tank U
= 31 x 31 x 31
= 29791 mℓ
1000 mℓ = 1 ℓ
29791 mℓ = 29791 ÷ 1000 = 29.791 ℓ
Volume of Tank V
= 58 x 25 x 29
= 42050 mℓ
42050 mℓ = 42050 ÷ 1000 = 42.05 ℓ
Volume of more water to fill Tank V
= 42.05 - 29.791 - 9.9
= 2.359 ℓ
Answer(s): (a) 9.9 ℓ; (b) 2.359 ℓ