A rectangular tank, 80 cm by 55 cm by 35 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 container is 11 : 6. If
67 of the container is filled with water, find
- the volume of the container.
- the minimum number of such containers to fill the tank.
(a)
Volume of water in the tank
= 80 x 55 x 10
= 44000 cm
3 11 u = 44000 cm
3 1 u = 44000 ÷ 11 = 4000 cm
3 6 u = 6 x 4000 = 24000 cm
3 Volume of water in
67 of the container = 24000 cm
3 Volume of the container
= 24000 ÷
67 = 24000 x
76 = 28000 cm
3 (b)
Volume of the tank
= 80 x 55 x 35
= 154000 cm
3 Number of containers to fill the tank
= 154000 ÷ 28000
= 5 r 14000
Minimum number of containers to fill the tank
= 5 + 1
= 6
Answer(s): (a) 28000 cm
3; (b) 6