A rectangular tank, 80 cm by 50 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 9 : 4. If
25 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 50 x 9
= 36000 cm
3 9 u = 36000 cm
3 1 u = 36000 ÷ 9 = 4000 cm
3 4 u = 4 x 4000 = 16000 cm
3 Volume of water in
25 of the container = 16000 cm
3 Volume of the container
= 16000 ÷
25 = 16000 x
52 = 40000 cm
3 (b)
Volume of the tank
= 80 x 50 x 40
= 160000 cm
3 Number of containers to fill the tank
= 160000 ÷ 40000
= 4 r 0
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 40000 cm
3; (b) 5