A rectangular tank, 90 cm by 55 cm by 40 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the tank to that in a barrel is 11 : 4. 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 55 x 10
= 49500 cm
3 11 u = 49500 cm
3 1 u = 49500 ÷ 11 = 4500 cm
3 4 u = 4 x 4500 = 18000 cm
3 Volume of water in
57 of the barrel = 18000 cm
3 Volume of the barrel
= 18000 ÷
57 = 18000 x
75 = 25200 cm
3 (b)
Volume of the tank
= 90 x 55 x 40
= 198000 cm
3 Number of barrels to fill the tank
= 198000 ÷ 25200
= 7 r 21600
Minimum number of barrels to fill the tank
= 7 + 1
= 8
Answer(s): (a) 25200 cm
3; (b) 8