A rectangular container, 90 cm by 55 cm by 35 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the container to that in a barrel is 11 : 2. If
34 of the barrel is filled with water, find
- the volume of the barrel.
- the minimum number of such barrels to fill the container.
(a)
Volume of water in the container
= 90 x 55 x 10
= 49500 cm
3 11 u = 49500 cm
3 1 u = 49500 ÷ 11 = 4500 cm
3 2 u = 2 x 4500 = 9000 cm
3 Volume of water in
34 of the barrel = 9000 cm
3 Volume of the barrel
= 9000 ÷
34 = 9000 x
43 = 12000 cm
3 (b)
Volume of the container
= 90 x 55 x 35
= 173250 cm
3 Number of barrels to fill the container
= 173250 ÷ 12000
= 14 r 5250
Minimum number of barrels to fill the container
= 14 + 1
= 15
Answer(s): (a) 12000 cm
3; (b) 15