A rectangular tank, 70 cm by 40 cm by 50 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 9 : 2. 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 9
= 25200 cm
3 9 u = 25200 cm
3 1 u = 25200 ÷ 9 = 2800 cm
3 2 u = 2 x 2800 = 5600 cm
3 Volume of water in
57 of the container = 5600 cm
3 Volume of the container
= 5600 ÷
57 = 5600 x
75 = 7840 cm
3 (b)
Volume of the tank
= 70 x 40 x 50
= 140000 cm
3 Number of containers to fill the tank
= 140000 ÷ 7840
= 17 r 6720
Minimum number of containers to fill the tank
= 17 + 1
= 18
Answer(s): (a) 7840 cm
3; (b) 18