A rectangular tank, 80 cm by 40 cm by 50 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 5 : 6. If
57 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 40 x 11
= 35200 cm
3 5 u = 35200 cm
3 1 u = 35200 ÷ 5 = 7040 cm
3 6 u = 6 x 7040 = 42240 cm
3 Volume of water in
57 of the barrel = 42240 cm
3 Volume of the barrel
= 42240 ÷
57 = 42240 x
75 = 59136 cm
3 (b)
Volume of the tank
= 80 x 40 x 50
= 160000 cm
3 Number of barrels to fill the tank
= 160000 ÷ 59136
= 2 r 41728
Minimum number of barrels to fill the tank
= 2 + 1
= 3
Answer(s): (a) 59136 cm
3; (b) 3