A rectangular tank, 90 cm by 45 cm by 40 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a container is 9 : 4. 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 12
= 48600 cm
3 9 u = 48600 cm
3 1 u = 48600 ÷ 9 = 5400 cm
3 4 u = 4 x 5400 = 21600 cm
3 Volume of water in
57 of the container = 21600 cm
3 Volume of the container
= 21600 ÷
57 = 21600 x
75 = 30240 cm
3 (b)
Volume of the tank
= 90 x 45 x 40
= 162000 cm
3 Number of containers to fill the tank
= 162000 ÷ 30240
= 5 r 10800
Minimum number of containers to fill the tank
= 5 + 1
= 6
Answer(s): (a) 30240 cm
3; (b) 6