A rectangular tank, 90 cm by 55 cm by 45 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a barrel is 11 : 4. If
34 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 55 x 6
= 29700 cm
3 11 u = 29700 cm
3 1 u = 29700 ÷ 11 = 2700 cm
3 4 u = 4 x 2700 = 10800 cm
3 Volume of water in
34 of the barrel = 10800 cm
3 Volume of the barrel
= 10800 ÷
34 = 10800 x
43 = 14400 cm
3 (b)
Volume of the tank
= 90 x 55 x 45
= 222750 cm
3 Number of barrels to fill the tank
= 222750 ÷ 14400
= 15 r 6750
Minimum number of barrels to fill the tank
= 15 + 1
= 16
Answer(s): (a) 14400 cm
3; (b) 16