A rectangular container, 80 cm by 55 cm by 50 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 11 : 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 55 x 9
= 39600 cm
3 11 u = 39600 cm
3 1 u = 39600 ÷ 11 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
25 of the bucket = 14400 cm
3 Volume of the bucket
= 14400 ÷
25 = 14400 x
52 = 36000 cm
3 (b)
Volume of the container
= 80 x 55 x 50
= 220000 cm
3 Number of buckets to fill the container
= 220000 ÷ 36000
= 6 r 4000
Minimum number of buckets to fill the container
= 6 + 1
= 7
Answer(s): (a) 36000 cm
3; (b) 7