A rectangular tank, 90 cm by 55 cm by 35 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
34 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 55 x 7
= 34650 cm
3 7 u = 34650 cm
3 1 u = 34650 ÷ 7 = 4950 cm
3 6 u = 6 x 4950 = 29700 cm
3 Volume of water in
34 of the container = 29700 cm
3 Volume of the container
= 29700 ÷
34 = 29700 x
43 = 39600 cm
3 (b)
Volume of the tank
= 90 x 55 x 35
= 173250 cm
3 Number of containers to fill the tank
= 173250 ÷ 39600
= 4 r 14850
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 39600 cm
3; (b) 5