Tank U is a cubical container of edge 28 cm. It is completely filled with water. Tank V is a rectangular tank measuring 47 cm by 22 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.6 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank V after 7 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
= 7 x 0.6
= 4.2 ℓ
Volume of water poured into the Tank V from Tank U
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank V
= 47 x 22 x 26
= 26884 mℓ
26884 mℓ = 26884 ÷ 1000 = 26.884 ℓ
Volume of more water to fill Tank V
= 26.884 - 21.952 - 4.2
= 0.732 ℓ
Answer(s): (a) 4.2 ℓ; (b) 0.732 ℓ