A rectangular tank, 90 cm by 40 cm by 35 cm, is filled with water to a height of 9 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
= 90 x 40 x 9
= 32400 cm
3 5 u = 32400 cm
3 1 u = 32400 ÷ 5 = 6480 cm
3 4 u = 4 x 6480 = 25920 cm
3 Volume of water in
25 of the container = 25920 cm
3 Volume of the container
= 25920 ÷
25 = 25920 x
52 = 64800 cm
3 (b)
Volume of the tank
= 90 x 40 x 35
= 126000 cm
3 Number of containers to fill the tank
= 126000 ÷ 64800
= 1 r 61200
Minimum number of containers to fill the tank
= 1 + 1
= 2
Answer(s): (a) 64800 cm
3; (b) 2