A rectangular tank, 70 cm by 45 cm by 40 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the tank to that in a container is 5 : 2. 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
= 70 x 45 x 9
= 28350 cm
3 5 u = 28350 cm
3 1 u = 28350 ÷ 5 = 5670 cm
3 2 u = 2 x 5670 = 11340 cm
3 Volume of water in
67 of the container = 11340 cm
3 Volume of the container
= 11340 ÷
67 = 11340 x
76 = 13230 cm
3 (b)
Volume of the tank
= 70 x 45 x 40
= 126000 cm
3 Number of containers to fill the tank
= 126000 ÷ 13230
= 9 r 6930
Minimum number of containers to fill the tank
= 9 + 1
= 10
Answer(s): (a) 13230 cm
3; (b) 10