Tank V is a cubical container of edge 24 cm. It is completely filled with water. Tank W is a rectangular tank measuring 62 cm by 19 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.5 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank W after 8 minutes. Give your answer in litres.
- All the water in Tank V is then poured into Tank W without spilling. How much more water is needed to fill Tank W completely? Give your answer in litres.
(a)
Volume of water in Tank W filled by the tap
= 8 x 0.5
= 4 ℓ
Volume of water poured into the Tank W from Tank V
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank W
= 62 x 19 x 20
= 23560 mℓ
23560 mℓ = 23560 ÷ 1000 = 23.56 ℓ
Volume of more water to fill Tank W
= 23.56 - 13.824 - 4
= 5.736 ℓ
Answer(s): (a) 4 ℓ; (b) 5.736 ℓ