Tank V is a cubical container of edge 33 cm. It is completely filled with water. Tank W is a rectangular tank measuring 55 cm by 29 cm by 30 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 6 minutes later, the tap is turned off.
- Find the volume of water in Tank W after 6 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
= 6 x 0.3
= 1.8 ℓ
Volume of water poured into the Tank W from Tank V
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank W
= 55 x 29 x 30
= 47850 mℓ
47850 mℓ = 47850 ÷ 1000 = 47.85 ℓ
Volume of more water to fill Tank W
= 47.85 - 35.937 - 1.8
= 10.113 ℓ
Answer(s): (a) 1.8 ℓ; (b) 10.113 ℓ