A rectangular tank, 70 cm by 55 cm by 35 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 7 : 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
= 70 x 55 x 11
= 42350 cm
3 7 u = 42350 cm
3 1 u = 42350 ÷ 7 = 6050 cm
3 2 u = 2 x 6050 = 12100 cm
3 Volume of water in
25 of the container = 12100 cm
3 Volume of the container
= 12100 ÷
25 = 12100 x
52 = 30250 cm
3 (b)
Volume of the tank
= 70 x 55 x 35
= 134750 cm
3 Number of containers to fill the tank
= 134750 ÷ 30250
= 4 r 13750
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 30250 cm
3; (b) 5