A rectangular tank, 90 cm by 50 cm by 45 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
= 90 x 50 x 7
= 31500 cm
3 7 u = 31500 cm
3 1 u = 31500 ÷ 7 = 4500 cm
3 4 u = 4 x 4500 = 18000 cm
3 Volume of water in
57 of the container = 18000 cm
3 Volume of the container
= 18000 ÷
57 = 18000 x
75 = 25200 cm
3 (b)
Volume of the tank
= 90 x 50 x 45
= 202500 cm
3 Number of containers to fill the tank
= 202500 ÷ 25200
= 8 r 900
Minimum number of containers to fill the tank
= 8 + 1
= 9
Answer(s): (a) 25200 cm
3; (b) 9