A rectangular tank, 90 cm by 50 cm by 40 cm, is filled with water to a height of 6 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 50 x 6
= 27000 cm
3 9 u = 27000 cm
3 1 u = 27000 ÷ 9 = 3000 cm
3 2 u = 2 x 3000 = 6000 cm
3 Volume of water in
57 of the container = 6000 cm
3 Volume of the container
= 6000 ÷
57 = 6000 x
75 = 8400 cm
3 (b)
Volume of the tank
= 90 x 50 x 40
= 180000 cm
3 Number of containers to fill the tank
= 180000 ÷ 8400
= 21 r 3600
Minimum number of containers to fill the tank
= 21 + 1
= 22
Answer(s): (a) 8400 cm
3; (b) 22