A rectangular container, 70 cm by 45 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 pail is 7 : 4. If
35 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 7 u = 25200 cm
3 1 u = 25200 ÷ 7 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
35 of the pail = 14400 cm
3 Volume of the pail
= 14400 ÷
35 = 14400 x
53 = 24000 cm
3 (b)
Volume of the container
= 70 x 45 x 45
= 141750 cm
3 Number of pails to fill the container
= 141750 ÷ 24000
= 5 r 21750
Minimum number of pails to fill the container
= 5 + 1
= 6
Answer(s): (a) 24000 cm
3; (b) 6