A rectangular tank, 90 cm by 55 cm by 40 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the tank to that in a container is 11 : 6. If
23 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 55 x 8
= 39600 cm
3 11 u = 39600 cm
3 1 u = 39600 ÷ 11 = 3600 cm
3 6 u = 6 x 3600 = 21600 cm
3 Volume of water in
23 of the container = 21600 cm
3 Volume of the container
= 21600 ÷
23 = 21600 x
32 = 32400 cm
3 (b)
Volume of the tank
= 90 x 55 x 40
= 198000 cm
3 Number of containers to fill the tank
= 198000 ÷ 32400
= 6 r 3600
Minimum number of containers to fill the tank
= 6 + 1
= 7
Answer(s): (a) 32400 cm
3; (b) 7