Tank U is a cubical container of edge 27 cm. It is completely filled with water. Tank V is a rectangular tank measuring 59 cm by 22 cm by 23 cm. It is filled with water flowing from a tap at a rate of 0.4 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 0.4
= 4.4 ℓ
Volume of water poured into the Tank V from Tank U
= 27 x 27 x 27
= 19683 mℓ
1000 mℓ = 1 ℓ
19683 mℓ = 19683 ÷ 1000 = 19.683 ℓ
Volume of Tank V
= 59 x 22 x 23
= 29854 mℓ
29854 mℓ = 29854 ÷ 1000 = 29.854 ℓ
Volume of more water to fill Tank V
= 29.854 - 19.683 - 4.4
= 5.771 ℓ
Answer(s): (a) 4.4 ℓ; (b) 5.771 ℓ