A rectangular container, 70 cm by 45 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 : 6. If
57 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 45 x 9
= 28350 cm
3 7 u = 28350 cm
3 1 u = 28350 ÷ 7 = 4050 cm
3 6 u = 6 x 4050 = 24300 cm
3 Volume of water in
57 of the barrel = 24300 cm
3 Volume of the barrel
= 24300 ÷
57 = 24300 x
75 = 34020 cm
3 (b)
Volume of the container
= 70 x 45 x 50
= 157500 cm
3 Number of barrels to fill the container
= 157500 ÷ 34020
= 4 r 21420
Minimum number of barrels to fill the container
= 4 + 1
= 5
Answer(s): (a) 34020 cm
3; (b) 5