A rectangular tank, 90 cm by 50 cm by 45 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the tank to that in a container is 9 : 2. 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
= 90 x 50 x 11
= 49500 cm
3 9 u = 49500 cm
3 1 u = 49500 ÷ 9 = 5500 cm
3 2 u = 2 x 5500 = 11000 cm
3 Volume of water in
25 of the container = 11000 cm
3 Volume of the container
= 11000 ÷
25 = 11000 x
52 = 27500 cm
3 (b)
Volume of the tank
= 90 x 50 x 45
= 202500 cm
3 Number of containers to fill the tank
= 202500 ÷ 27500
= 7 r 10000
Minimum number of containers to fill the tank
= 7 + 1
= 8
Answer(s): (a) 27500 cm
3; (b) 8