A rectangular tank, 80 cm by 45 cm by 45 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the tank to that in a barrel is 11 : 6. If
67 of the barrel is filled with water, find
- the volume of the barrel.
- the minimum number of such barrels to fill the tank.
(a)
Volume of water in the tank
= 80 x 45 x 11
= 39600 cm
3 11 u = 39600 cm
3 1 u = 39600 ÷ 11 = 3600 cm
3 6 u = 6 x 3600 = 21600 cm
3 Volume of water in
67 of the barrel = 21600 cm
3 Volume of the barrel
= 21600 ÷
67 = 21600 x
76 = 25200 cm
3 (b)
Volume of the tank
= 80 x 45 x 45
= 162000 cm
3 Number of barrels to fill the tank
= 162000 ÷ 25200
= 6 r 10800
Minimum number of barrels to fill the tank
= 6 + 1
= 7
Answer(s): (a) 25200 cm
3; (b) 7