A rectangular container, 70 cm by 55 cm by 50 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the container to that in a barrel is 7 : 4. 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
= 70 x 55 x 9
= 34650 cm
3 7 u = 34650 cm
3 1 u = 34650 ÷ 7 = 4950 cm
3 4 u = 4 x 4950 = 19800 cm
3 Volume of water in
34 of the barrel = 19800 cm
3 Volume of the barrel
= 19800 ÷
34 = 19800 x
43 = 26400 cm
3 (b)
Volume of the container
= 70 x 55 x 50
= 192500 cm
3 Number of barrels to fill the container
= 192500 ÷ 26400
= 7 r 7700
Minimum number of barrels to fill the container
= 7 + 1
= 8
Answer(s): (a) 26400 cm
3; (b) 8