A rectangular tank, 70 cm by 50 cm by 50 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the tank to that in a container is 7 : 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 50 x 7
= 24500 cm
3 7 u = 24500 cm
3 1 u = 24500 ÷ 7 = 3500 cm
3 4 u = 4 x 3500 = 14000 cm
3 Volume of water in
57 of the container = 14000 cm
3 Volume of the container
= 14000 ÷
57 = 14000 x
75 = 19600 cm
3 (b)
Volume of the tank
= 70 x 50 x 50
= 175000 cm
3 Number of containers to fill the tank
= 175000 ÷ 19600
= 8 r 18200
Minimum number of containers to fill the tank
= 8 + 1
= 9
Answer(s): (a) 19600 cm
3; (b) 9