A rectangular container, 90 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 11 : 2. If
25 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 7
= 34650 cm
3 11 u = 34650 cm
3 1 u = 34650 ÷ 11 = 3150 cm
3 2 u = 2 x 3150 = 6300 cm
3 Volume of water in
25 of the barrel = 6300 cm
3 Volume of the barrel
= 6300 ÷
25 = 6300 x
52 = 15750 cm
3 (b)
Volume of the container
= 90 x 55 x 40
= 198000 cm
3 Number of barrels to fill the container
= 198000 ÷ 15750
= 12 r 9000
Minimum number of barrels to fill the container
= 12 + 1
= 13
Answer(s): (a) 15750 cm
3; (b) 13