Tank U is a cubical container of edge 39 cm. It is completely filled with water. Tank V is a rectangular tank measuring 56 cm by 35 cm by 36 cm. It is filled with water flowing from a tap at a rate of 1.1 ℓ per minute. 10 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 10 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
= 10 x 1.1
= 11 ℓ
Volume of water poured into the Tank V from Tank U
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank V
= 56 x 35 x 36
= 70560 mℓ
70560 mℓ = 70560 ÷ 1000 = 70.56 ℓ
Volume of more water to fill Tank V
= 70.56 - 59.319 - 11
= 0.241 ℓ
Answer(s): (a) 11 ℓ; (b) 0.241 ℓ