A rectangular container, 80 cm by 50 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 bucket is 5 : 2. If
57 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
= 80 x 50 x 8
= 32000 cm
3 5 u = 32000 cm
3 1 u = 32000 ÷ 5 = 6400 cm
3 2 u = 2 x 6400 = 12800 cm
3 Volume of water in
57 of the bucket = 12800 cm
3 Volume of the bucket
= 12800 ÷
57 = 12800 x
75 = 17920 cm
3 (b)
Volume of the container
= 80 x 50 x 40
= 160000 cm
3 Number of buckets to fill the container
= 160000 ÷ 17920
= 8 r 16640
Minimum number of buckets to fill the container
= 8 + 1
= 9
Answer(s): (a) 17920 cm
3; (b) 9