A rectangular tank, 70 cm by 55 cm by 50 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the tank to that in a container is 5 : 4. 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
= 70 x 55 x 10
= 38500 cm
3 5 u = 38500 cm
3 1 u = 38500 ÷ 5 = 7700 cm
3 4 u = 4 x 7700 = 30800 cm
3 Volume of water in
23 of the container = 30800 cm
3 Volume of the container
= 30800 ÷
23 = 30800 x
32 = 46200 cm
3 (b)
Volume of the tank
= 70 x 55 x 50
= 192500 cm
3 Number of containers to fill the tank
= 192500 ÷ 46200
= 4 r 7700
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 46200 cm
3; (b) 5