A rectangular tank, 70 cm by 50 cm by 40 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the tank to that in a container is 7 : 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 7
= 24500 cm
3 7 u = 24500 cm
3 1 u = 24500 ÷ 7 = 3500 cm
3 6 u = 6 x 3500 = 21000 cm
3 Volume of water in
25 of the container = 21000 cm
3 Volume of the container
= 21000 ÷
25 = 21000 x
52 = 52500 cm
3 (b)
Volume of the tank
= 70 x 50 x 40
= 140000 cm
3 Number of containers to fill the tank
= 140000 ÷ 52500
= 2 r 35000
Minimum number of containers to fill the tank
= 2 + 1
= 3
Answer(s): (a) 52500 cm
3; (b) 3