A rectangular container, 70 cm by 55 cm by 50 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the container to that in a pail is 11 : 2. 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 12
= 46200 cm
3 11 u = 46200 cm
3 1 u = 46200 ÷ 11 = 4200 cm
3 2 u = 2 x 4200 = 8400 cm
3 Volume of water in
57 of the pail = 8400 cm
3 Volume of the pail
= 8400 ÷
57 = 8400 x
75 = 11760 cm
3 (b)
Volume of the container
= 70 x 55 x 50
= 192500 cm
3 Number of pails to fill the container
= 192500 ÷ 11760
= 16 r 4340
Minimum number of pails to fill the container
= 16 + 1
= 17
Answer(s): (a) 11760 cm
3; (b) 17