Tank V is a cubical container of edge 39 cm. It is completely filled with water. Tank W is a rectangular tank measuring 58 cm by 36 cm by 37 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 12 minutes later, the tap is turned off.
- Find the volume of water in Tank W after 12 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
= 12 x 1.3
= 15.6 ℓ
Volume of water poured into the Tank W from Tank V
= 39 x 39 x 39
= 59319 mℓ
1000 mℓ = 1 ℓ
59319 mℓ = 59319 ÷ 1000 = 59.319 ℓ
Volume of Tank W
= 58 x 36 x 37
= 77256 mℓ
77256 mℓ = 77256 ÷ 1000 = 77.256 ℓ
Volume of more water to fill Tank W
= 77.256 - 59.319 - 15.6
= 2.337 ℓ
Answer(s): (a) 15.6 ℓ; (b) 2.337 ℓ