A cubical tank of edge 40 cm contained some water to a height of 15 cm.
- Find the volume of water in the tank at first.
- A tap was then turned on for 11 minutes to fill the tank with water at a rate of 0.7 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
= 40 x 40 x 15
= 24000 cm
3
(b)
Remaining height of the tank not filled with water before the tap was turned on
= 40 - 15
= 25 cm
Volume of water needed to fill the tank
= 40 x 40 x 25
= 40000 cm³
1 ℓ = 1000 mℓ
0.7 ℓ = 0.7 x 1000 = 700 mℓ
Volume of water filled by the tap in 11 min
= 11 x 700
= 7700 cm
3Volume of more water needed to fill the tank to the brim when the tap was turned off
= 40000 - 7700
= 32300 cm
3
32300 mℓ = 32300 ÷ 1000 = 32.3 ℓ
Volume of more water to fill the tank = 32.3 ℓ
Answer(s): (a) 24000 cm
3; (b) 32.3 ℓ