A rectangular container, 90 cm by 55 cm by 45 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the container to that in a barrel is 5 : 2. 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
= 90 x 55 x 8
= 39600 cm
3 5 u = 39600 cm
3 1 u = 39600 ÷ 5 = 7920 cm
3 2 u = 2 x 7920 = 15840 cm
3 Volume of water in
23 of the barrel = 15840 cm
3 Volume of the barrel
= 15840 ÷
23 = 15840 x
32 = 23760 cm
3 (b)
Volume of the container
= 90 x 55 x 45
= 222750 cm
3 Number of barrels to fill the container
= 222750 ÷ 23760
= 9 r 8910
Minimum number of barrels to fill the container
= 9 + 1
= 10
Answer(s): (a) 23760 cm
3; (b) 10