A rectangular tank, 80 cm by 50 cm by 45 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the tank to that in a container is 7 : 2. 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 7
= 28000 cm
3 7 u = 28000 cm
3 1 u = 28000 ÷ 7 = 4000 cm
3 2 u = 2 x 4000 = 8000 cm
3 Volume of water in
25 of the container = 8000 cm
3 Volume of the container
= 8000 ÷
25 = 8000 x
52 = 20000 cm
3 (b)
Volume of the tank
= 80 x 50 x 45
= 180000 cm
3 Number of containers to fill the tank
= 180000 ÷ 20000
= 9 r 0
Minimum number of containers to fill the tank
= 9 + 1
= 10
Answer(s): (a) 20000 cm
3; (b) 10