A rectangular tank, 90 cm by 55 cm by 35 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a container is 11 : 2. If
23 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 5
= 24750 cm
3 11 u = 24750 cm
3 1 u = 24750 ÷ 11 = 2250 cm
3 2 u = 2 x 2250 = 4500 cm
3 Volume of water in
23 of the container = 4500 cm
3 Volume of the container
= 4500 ÷
23 = 4500 x
32 = 6750 cm
3 (b)
Volume of the tank
= 90 x 55 x 35
= 173250 cm
3 Number of containers to fill the tank
= 173250 ÷ 6750
= 25 r 4500
Minimum number of containers to fill the tank
= 25 + 1
= 26
Answer(s): (a) 6750 cm
3; (b) 26