A rectangular container, 80 cm by 55 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 11 : 6. 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
= 80 x 55 x 8
= 35200 cm
3 11 u = 35200 cm
3 1 u = 35200 ÷ 11 = 3200 cm
3 6 u = 6 x 3200 = 19200 cm
3 Volume of water in
57 of the pail = 19200 cm
3 Volume of the pail
= 19200 ÷
57 = 19200 x
75 = 26880 cm
3 (b)
Volume of the container
= 80 x 55 x 40
= 176000 cm
3 Number of pails to fill the container
= 176000 ÷ 26880
= 6 r 14720
Minimum number of pails to fill the container
= 6 + 1
= 7
Answer(s): (a) 26880 cm
3; (b) 7