A rectangular tank, 80 cm by 45 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a container is 5 : 4. 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
= 80 x 45 x 5
= 18000 cm
3 5 u = 18000 cm
3 1 u = 18000 ÷ 5 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
25 of the container = 14400 cm
3 Volume of the container
= 14400 ÷
25 = 14400 x
52 = 36000 cm
3 (b)
Volume of the tank
= 80 x 45 x 40
= 144000 cm
3 Number of containers to fill the tank
= 144000 ÷ 36000
= 4 r 0
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 36000 cm
3; (b) 5