A rectangular container, 70 cm by 55 cm by 45 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the container to that in a barrel is 7 : 4. If
23 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 5
= 19250 cm
3 7 u = 19250 cm
3 1 u = 19250 ÷ 7 = 2750 cm
3 4 u = 4 x 2750 = 11000 cm
3 Volume of water in
23 of the barrel = 11000 cm
3 Volume of the barrel
= 11000 ÷
23 = 11000 x
32 = 16500 cm
3 (b)
Volume of the container
= 70 x 55 x 45
= 173250 cm
3 Number of barrels to fill the container
= 173250 ÷ 16500
= 10 r 8250
Minimum number of barrels to fill the container
= 10 + 1
= 11
Answer(s): (a) 16500 cm
3; (b) 11