A rectangular tank, 70 cm by 45 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 7 : 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
= 70 x 45 x 9
= 28350 cm
3 7 u = 28350 cm
3 1 u = 28350 ÷ 7 = 4050 cm
3 4 u = 4 x 4050 = 16200 cm
3 Volume of water in
25 of the container = 16200 cm
3 Volume of the container
= 16200 ÷
25 = 16200 x
52 = 40500 cm
3 (b)
Volume of the tank
= 70 x 45 x 35
= 110250 cm
3 Number of containers to fill the tank
= 110250 ÷ 40500
= 2 r 29250
Minimum number of containers to fill the tank
= 2 + 1
= 3
Answer(s): (a) 40500 cm
3; (b) 3