A rectangular container, 80 cm by 45 cm by 45 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 9 : 4. If
25 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 45 x 8
= 28800 cm
3 9 u = 28800 cm
3 1 u = 28800 ÷ 9 = 3200 cm
3 4 u = 4 x 3200 = 12800 cm
3 Volume of water in
25 of the bucket = 12800 cm
3 Volume of the bucket
= 12800 ÷
25 = 12800 x
52 = 32000 cm
3 (b)
Volume of the container
= 80 x 45 x 45
= 162000 cm
3 Number of buckets to fill the container
= 162000 ÷ 32000
= 5 r 2000
Minimum number of buckets to fill the container
= 5 + 1
= 6
Answer(s): (a) 32000 cm
3; (b) 6