A rectangular container, 70 cm by 55 cm by 50 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the container to that in a pail is 11 : 4. If
57 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 55 x 5
= 19250 cm
3 11 u = 19250 cm
3 1 u = 19250 ÷ 11 = 1750 cm
3 4 u = 4 x 1750 = 7000 cm
3 Volume of water in
57 of the pail = 7000 cm
3 Volume of the pail
= 7000 ÷
57 = 7000 x
75 = 9800 cm
3 (b)
Volume of the container
= 70 x 55 x 50
= 192500 cm
3 Number of pails to fill the container
= 192500 ÷ 9800
= 19 r 6300
Minimum number of pails to fill the container
= 19 + 1
= 20
Answer(s): (a) 9800 cm
3; (b) 20