A rectangular container, 80 cm by 55 cm by 40 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the container to that in a barrel is 7 : 6. 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
= 80 x 55 x 7
= 30800 cm
3 7 u = 30800 cm
3 1 u = 30800 ÷ 7 = 4400 cm
3 6 u = 6 x 4400 = 26400 cm
3 Volume of water in
35 of the barrel = 26400 cm
3 Volume of the barrel
= 26400 ÷
35 = 26400 x
53 = 44000 cm
3 (b)
Volume of the container
= 80 x 55 x 40
= 176000 cm
3 Number of barrels to fill the container
= 176000 ÷ 44000
= 4 r 0
Minimum number of barrels to fill the container
= 4 + 1
= 5
Answer(s): (a) 44000 cm
3; (b) 5