Tank U is a cubical container of edge 22 cm. It is completely filled with water. Tank V is a rectangular tank measuring 59 cm by 16 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.4 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 0.4
= 1.6 ℓ
Volume of water poured into the Tank V from Tank U
= 22 x 22 x 22
= 10648 mℓ
1000 mℓ = 1 ℓ
10648 mℓ = 10648 ÷ 1000 = 10.648 ℓ
Volume of Tank V
= 59 x 16 x 18
= 16992 mℓ
16992 mℓ = 16992 ÷ 1000 = 16.992 ℓ
Volume of more water to fill Tank V
= 16.992 - 10.648 - 1.6
= 4.744 ℓ
Answer(s): (a) 1.6 ℓ; (b) 4.744 ℓ