Tank U is a cubical container of edge 40 cm. It is completely filled with water. Tank V is a rectangular tank measuring 63 cm by 32 cm by 36 cm. It is filled with water flowing from a tap at a rate of 0.2 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 0.2
= 0.8 ℓ
Volume of water poured into the Tank V from Tank U
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank V
= 63 x 32 x 36
= 72576 mℓ
72576 mℓ = 72576 ÷ 1000 = 72.576 ℓ
Volume of more water to fill Tank V
= 72.576 - 64 - 0.8
= 7.776 ℓ
Answer(s): (a) 0.8 ℓ; (b) 7.776 ℓ