A rectangular tank, 90 cm by 55 cm by 35 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
= 90 x 55 x 9
= 44550 cm
3 5 u = 44550 cm
3 1 u = 44550 ÷ 5 = 8910 cm
3 2 u = 2 x 8910 = 17820 cm
3 Volume of water in
67 of the container = 17820 cm
3 Volume of the container
= 17820 ÷
67 = 17820 x
76 = 20790 cm
3 (b)
Volume of the tank
= 90 x 55 x 35
= 173250 cm
3 Number of containers to fill the tank
= 173250 ÷ 20790
= 8 r 6930
Minimum number of containers to fill the tank
= 8 + 1
= 9
Answer(s): (a) 20790 cm
3; (b) 9