A rectangular tank, 70 cm by 50 cm by 35 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a container is 5 : 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 50 x 6
= 21000 cm
3 5 u = 21000 cm
3 1 u = 21000 ÷ 5 = 4200 cm
3 6 u = 6 x 4200 = 25200 cm
3 Volume of water in
25 of the container = 25200 cm
3 Volume of the container
= 25200 ÷
25 = 25200 x
52 = 63000 cm
3 (b)
Volume of the tank
= 70 x 50 x 35
= 122500 cm
3 Number of containers to fill the tank
= 122500 ÷ 63000
= 1 r 59500
Minimum number of containers to fill the tank
= 1 + 1
= 2
Answer(s): (a) 63000 cm
3; (b) 2