A rectangular container, 90 cm by 45 cm by 40 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the container to that in a barrel is 5 : 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 45 x 11
= 44550 cm
3 5 u = 44550 cm
3 1 u = 44550 ÷ 5 = 8910 cm
3 2 u = 2 x 8910 = 17820 cm
3 Volume of water in
25 of the barrel = 17820 cm
3 Volume of the barrel
= 17820 ÷
25 = 17820 x
52 = 44550 cm
3 (b)
Volume of the container
= 90 x 45 x 40
= 162000 cm
3 Number of barrels to fill the container
= 162000 ÷ 44550
= 3 r 28350
Minimum number of barrels to fill the container
= 3 + 1
= 4
Answer(s): (a) 44550 cm
3; (b) 4