A rectangular tank, 70 cm by 55 cm by 35 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 11 : 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
= 70 x 55 x 9
= 34650 cm
3 11 u = 34650 cm
3 1 u = 34650 ÷ 11 = 3150 cm
3 4 u = 4 x 3150 = 12600 cm
3 Volume of water in
57 of the container = 12600 cm
3 Volume of the container
= 12600 ÷
57 = 12600 x
75 = 17640 cm
3 (b)
Volume of the tank
= 70 x 55 x 35
= 134750 cm
3 Number of containers to fill the tank
= 134750 ÷ 17640
= 7 r 11270
Minimum number of containers to fill the tank
= 7 + 1
= 8
Answer(s): (a) 17640 cm
3; (b) 8