A rectangular tank, 90 cm by 45 cm by 35 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the tank to that in a container is 9 : 2. If
57 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 45 x 8
= 32400 cm
3 9 u = 32400 cm
3 1 u = 32400 ÷ 9 = 3600 cm
3 2 u = 2 x 3600 = 7200 cm
3 Volume of water in
57 of the container = 7200 cm
3 Volume of the container
= 7200 ÷
57 = 7200 x
75 = 10080 cm
3 (b)
Volume of the tank
= 90 x 45 x 35
= 141750 cm
3 Number of containers to fill the tank
= 141750 ÷ 10080
= 14 r 630
Minimum number of containers to fill the tank
= 14 + 1
= 15
Answer(s): (a) 10080 cm
3; (b) 15