A rectangular container, 70 cm by 55 cm by 40 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the container to that in a bucket is 5 : 2. If
67 of the bucket is filled with water, find
- the volume of the bucket.
- the minimum number of such buckets to fill the container.
(a)
Volume of water in the container
= 70 x 55 x 9
= 34650 cm
3 5 u = 34650 cm
3 1 u = 34650 ÷ 5 = 6930 cm
3 2 u = 2 x 6930 = 13860 cm
3 Volume of water in
67 of the bucket = 13860 cm
3 Volume of the bucket
= 13860 ÷
67 = 13860 x
76 = 16170 cm
3 (b)
Volume of the container
= 70 x 55 x 40
= 154000 cm
3 Number of buckets to fill the container
= 154000 ÷ 16170
= 9 r 8470
Minimum number of buckets to fill the container
= 9 + 1
= 10
Answer(s): (a) 16170 cm
3; (b) 10