A rectangular container, 90 cm by 50 cm by 35 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 9 : 4. 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 50 x 8
= 36000 cm
3 9 u = 36000 cm
3 1 u = 36000 ÷ 9 = 4000 cm
3 4 u = 4 x 4000 = 16000 cm
3 Volume of water in
25 of the barrel = 16000 cm
3 Volume of the barrel
= 16000 ÷
25 = 16000 x
52 = 40000 cm
3 (b)
Volume of the container
= 90 x 50 x 35
= 157500 cm
3 Number of barrels to fill the container
= 157500 ÷ 40000
= 3 r 37500
Minimum number of barrels to fill the container
= 3 + 1
= 4
Answer(s): (a) 40000 cm
3; (b) 4