A rectangular container, 80 cm by 50 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 bucket is 7 : 6. 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
= 80 x 50 x 7
= 28000 cm
3 7 u = 28000 cm
3 1 u = 28000 ÷ 7 = 4000 cm
3 6 u = 6 x 4000 = 24000 cm
3 Volume of water in
67 of the bucket = 24000 cm
3 Volume of the bucket
= 24000 ÷
67 = 24000 x
76 = 28000 cm
3 (b)
Volume of the container
= 80 x 50 x 40
= 160000 cm
3 Number of buckets to fill the container
= 160000 ÷ 28000
= 5 r 20000
Minimum number of buckets to fill the container
= 5 + 1
= 6
Answer(s): (a) 28000 cm
3; (b) 6