A rectangular tank, 70 cm by 55 cm by 50 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
35 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 55 x 9
= 34650 cm
3 5 u = 34650 cm
3 1 u = 34650 ÷ 5 = 6930 cm
3 2 u = 2 x 6930 = 13860 cm
3 Volume of water in
35 of the container = 13860 cm
3 Volume of the container
= 13860 ÷
35 = 13860 x
53 = 23100 cm
3 (b)
Volume of the tank
= 70 x 55 x 50
= 192500 cm
3 Number of containers to fill the tank
= 192500 ÷ 23100
= 8 r 7700
Minimum number of containers to fill the tank
= 8 + 1
= 9
Answer(s): (a) 23100 cm
3; (b) 9