A rectangular tank, 70 cm by 45 cm by 50 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 7 : 6. If
67 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
= 70 x 45 x 6
= 18900 cm
3 7 u = 18900 cm
3 1 u = 18900 ÷ 7 = 2700 cm
3 6 u = 6 x 2700 = 16200 cm
3 Volume of water in
67 of the container = 16200 cm
3 Volume of the container
= 16200 ÷
67 = 16200 x
76 = 18900 cm
3 (b)
Volume of the tank
= 70 x 45 x 50
= 157500 cm
3 Number of containers to fill the tank
= 157500 ÷ 18900
= 8 r 6300
Minimum number of containers to fill the tank
= 8 + 1
= 9
Answer(s): (a) 18900 cm
3; (b) 9