A rectangular tank, 90 cm by 45 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 : 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 9
= 36450 cm
3 9 u = 36450 cm
3 1 u = 36450 ÷ 9 = 4050 cm
3 2 u = 2 x 4050 = 8100 cm
3 Volume of water in
57 of the container = 8100 cm
3 Volume of the container
= 8100 ÷
57 = 8100 x
75 = 11340 cm
3 (b)
Volume of the tank
= 90 x 45 x 40
= 162000 cm
3 Number of containers to fill the tank
= 162000 ÷ 11340
= 14 r 3240
Minimum number of containers to fill the tank
= 14 + 1
= 15
Answer(s): (a) 11340 cm
3; (b) 15