A rectangular container, 70 cm by 45 cm by 40 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 7 : 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
= 70 x 45 x 12
= 37800 cm
3 7 u = 37800 cm
3 1 u = 37800 ÷ 7 = 5400 cm
3 4 u = 4 x 5400 = 21600 cm
3 Volume of water in
35 of the barrel = 21600 cm
3 Volume of the barrel
= 21600 ÷
35 = 21600 x
53 = 36000 cm
3 (b)
Volume of the container
= 70 x 45 x 40
= 126000 cm
3 Number of barrels to fill the container
= 126000 ÷ 36000
= 3 r 18000
Minimum number of barrels to fill the container
= 3 + 1
= 4
Answer(s): (a) 36000 cm
3; (b) 4