A rectangular container, 90 cm by 40 cm by 35 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the container to that in a barrel is 9 : 4. If
35 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 40 x 12
= 43200 cm
3 9 u = 43200 cm
3 1 u = 43200 ÷ 9 = 4800 cm
3 4 u = 4 x 4800 = 19200 cm
3 Volume of water in
35 of the barrel = 19200 cm
3 Volume of the barrel
= 19200 ÷
35 = 19200 x
53 = 32000 cm
3 (b)
Volume of the container
= 90 x 40 x 35
= 126000 cm
3 Number of barrels to fill the container
= 126000 ÷ 32000
= 3 r 30000
Minimum number of barrels to fill the container
= 3 + 1
= 4
Answer(s): (a) 32000 cm
3; (b) 4