A rectangular tank, 90 cm by 50 cm by 40 cm, is filled with water to a height of 5 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 50 x 5
= 22500 cm
3 9 u = 22500 cm
3 1 u = 22500 ÷ 9 = 2500 cm
3 4 u = 4 x 2500 = 10000 cm
3 Volume of water in
57 of the container = 10000 cm
3 Volume of the container
= 10000 ÷
57 = 10000 x
75 = 14000 cm
3 (b)
Volume of the tank
= 90 x 50 x 40
= 180000 cm
3 Number of containers to fill the tank
= 180000 ÷ 14000
= 12 r 12000
Minimum number of containers to fill the tank
= 12 + 1
= 13
Answer(s): (a) 14000 cm
3; (b) 13