A rectangular container, 70 cm by 55 cm by 40 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the container to that in a pail is 11 : 6. If
67 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 7
= 26950 cm
3 11 u = 26950 cm
3 1 u = 26950 ÷ 11 = 2450 cm
3 6 u = 6 x 2450 = 14700 cm
3 Volume of water in
67 of the pail = 14700 cm
3 Volume of the pail
= 14700 ÷
67 = 14700 x
76 = 17150 cm
3 (b)
Volume of the container
= 70 x 55 x 40
= 154000 cm
3 Number of pails to fill the container
= 154000 ÷ 17150
= 8 r 16800
Minimum number of pails to fill the container
= 8 + 1
= 9
Answer(s): (a) 17150 cm
3; (b) 9