Tank V is a cubical container of edge 38 cm. It is completely filled with water. Tank W is a rectangular tank measuring 60 cm by 35 cm by 36 cm. It is filled with water flowing from a tap at a rate of 2.3 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank W after 9 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
= 9 x 2.3
= 20.7 ℓ
Volume of water poured into the Tank W from Tank V
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank W
= 60 x 35 x 36
= 75600 mℓ
75600 mℓ = 75600 ÷ 1000 = 75.6 ℓ
Volume of more water to fill Tank W
= 75.6 - 54.872 - 20.7
= 0.027999999999995 ℓ
Answer(s): (a) 20.7 ℓ; (b) 0.027999999999995 ℓ