A rectangular tank, 70 cm by 55 cm by 35 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the tank to that in a container is 11 : 6. If
25 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 8
= 30800 cm
3 11 u = 30800 cm
3 1 u = 30800 ÷ 11 = 2800 cm
3 6 u = 6 x 2800 = 16800 cm
3 Volume of water in
25 of the container = 16800 cm
3 Volume of the container
= 16800 ÷
25 = 16800 x
52 = 42000 cm
3 (b)
Volume of the tank
= 70 x 55 x 35
= 134750 cm
3 Number of containers to fill the tank
= 134750 ÷ 42000
= 3 r 8750
Minimum number of containers to fill the tank
= 3 + 1
= 4
Answer(s): (a) 42000 cm
3; (b) 4