A rectangular tank, 80 cm by 40 cm by 45 cm, is filled with water to a height of 8 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 8
= 25600 cm
3 5 u = 25600 cm
3 1 u = 25600 ÷ 5 = 5120 cm
3 6 u = 6 x 5120 = 30720 cm
3 Volume of water in
57 of the barrel = 30720 cm
3 Volume of the barrel
= 30720 ÷
57 = 30720 x
75 = 43008 cm
3 (b)
Volume of the tank
= 80 x 40 x 45
= 144000 cm
3 Number of barrels to fill the tank
= 144000 ÷ 43008
= 3 r 14976
Minimum number of barrels to fill the tank
= 3 + 1
= 4
Answer(s): (a) 43008 cm
3; (b) 4