A rectangular container, 70 cm by 45 cm by 40 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 pail is 9 : 2. If
25 of the pail is filled with water, find
- the volume of the pail.
- the minimum number of such pails to fill the container.
(a)
Volume of water in the container
= 70 x 45 x 8
= 25200 cm
3 9 u = 25200 cm
3 1 u = 25200 ÷ 9 = 2800 cm
3 2 u = 2 x 2800 = 5600 cm
3 Volume of water in
25 of the pail = 5600 cm
3 Volume of the pail
= 5600 ÷
25 = 5600 x
52 = 14000 cm
3 (b)
Volume of the container
= 70 x 45 x 40
= 126000 cm
3 Number of pails to fill the container
= 126000 ÷ 14000
= 9 r 0
Minimum number of pails to fill the container
= 9 + 1
= 10
Answer(s): (a) 14000 cm
3; (b) 10