A rectangular tank, 70 cm by 55 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 : 2. 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 7
= 26950 cm
3 7 u = 26950 cm
3 1 u = 26950 ÷ 7 = 3850 cm
3 2 u = 2 x 3850 = 7700 cm
3 Volume of water in
23 of the container = 7700 cm
3 Volume of the container
= 7700 ÷
23 = 7700 x
32 = 11550 cm
3 (b)
Volume of the tank
= 70 x 55 x 50
= 192500 cm
3 Number of containers to fill the tank
= 192500 ÷ 11550
= 16 r 7700
Minimum number of containers to fill the tank
= 16 + 1
= 17
Answer(s): (a) 11550 cm
3; (b) 17