A rectangular tank, 80 cm by 45 cm by 50 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a barrel is 9 : 2. 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 45 x 12
= 43200 cm
3 9 u = 43200 cm
3 1 u = 43200 ÷ 9 = 4800 cm
3 2 u = 2 x 4800 = 9600 cm
3 Volume of water in
57 of the barrel = 9600 cm
3 Volume of the barrel
= 9600 ÷
57 = 9600 x
75 = 13440 cm
3 (b)
Volume of the tank
= 80 x 45 x 50
= 180000 cm
3 Number of barrels to fill the tank
= 180000 ÷ 13440
= 13 r 5280
Minimum number of barrels to fill the tank
= 13 + 1
= 14
Answer(s): (a) 13440 cm
3; (b) 14