A cubical tank of edge 60 cm contained some water to a height of 16 cm.
- Find the volume of water in the tank at first.
- A tap was then turned on for 10 minutes to fill the tank with water at a rate of 0.5 ℓ per minute. How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
(a)
Volume of water in the tank at first
= 60 x 60 x 16
= 57600 cm
3
(b)
Remaining height of the tank not filled with water before the tap was turned on
= 60 - 16
= 44 cm
Volume of water needed to fill the tank
= 60 x 60 x 44
= 158400 cm³
1 ℓ = 1000 mℓ
0.5 ℓ = 0.5 x 1000 = 500 mℓ
Volume of water filled by the tap in 10 min
= 10 x 500
= 5000 cm
3Volume of more water needed to fill the tank to the brim when the tap was turned off
= 158400 - 5000
= 153400 cm
3
153400 mℓ = 153400 ÷ 1000 = 153.4 ℓ
Volume of more water to fill the tank = 153.4 ℓ
Answer(s): (a) 57600 cm
3; (b) 153.4 ℓ