A rectangular container, 80 cm by 45 cm by 35 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the container to that in a barrel is 5 : 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
= 80 x 45 x 5
= 18000 cm
3 5 u = 18000 cm
3 1 u = 18000 ÷ 5 = 3600 cm
3 2 u = 2 x 3600 = 7200 cm
3 Volume of water in
34 of the barrel = 7200 cm
3 Volume of the barrel
= 7200 ÷
34 = 7200 x
43 = 9600 cm
3 (b)
Volume of the container
= 80 x 45 x 35
= 126000 cm
3 Number of barrels to fill the container
= 126000 ÷ 9600
= 13 r 1200
Minimum number of barrels to fill the container
= 13 + 1
= 14
Answer(s): (a) 9600 cm
3; (b) 14