A rectangular tank, 80 cm by 40 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 : 4. 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
= 80 x 40 x 9
= 28800 cm
3 5 u = 28800 cm
3 1 u = 28800 ÷ 5 = 5760 cm
3 4 u = 4 x 5760 = 23040 cm
3 Volume of water in
35 of the container = 23040 cm
3 Volume of the container
= 23040 ÷
35 = 23040 x
53 = 38400 cm
3 (b)
Volume of the tank
= 80 x 40 x 50
= 160000 cm
3 Number of containers to fill the tank
= 160000 ÷ 38400
= 4 r 6400
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 38400 cm
3; (b) 5