A rectangular tank, 70 cm by 40 cm by 35 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 5 : 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 40 x 8
= 22400 cm
3 5 u = 22400 cm
3 1 u = 22400 ÷ 5 = 4480 cm
3 4 u = 4 x 4480 = 17920 cm
3 Volume of water in
57 of the container = 17920 cm
3 Volume of the container
= 17920 ÷
57 = 17920 x
75 = 25088 cm
3 (b)
Volume of the tank
= 70 x 40 x 35
= 98000 cm
3 Number of containers to fill the tank
= 98000 ÷ 25088
= 3 r 22736
Minimum number of containers to fill the tank
= 3 + 1
= 4
Answer(s): (a) 25088 cm
3; (b) 4