A rectangular tank, 90 cm by 45 cm by 35 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 : 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
= 90 x 45 x 8
= 32400 cm
3 5 u = 32400 cm
3 1 u = 32400 ÷ 5 = 6480 cm
3 2 u = 2 x 6480 = 12960 cm
3 Volume of water in
57 of the barrel = 12960 cm
3 Volume of the barrel
= 12960 ÷
57 = 12960 x
75 = 18144 cm
3 (b)
Volume of the tank
= 90 x 45 x 35
= 141750 cm
3 Number of barrels to fill the tank
= 141750 ÷ 18144
= 7 r 14742
Minimum number of barrels to fill the tank
= 7 + 1
= 8
Answer(s): (a) 18144 cm
3; (b) 8