A rectangular container, 90 cm by 50 cm by 35 cm, is filled with water to a height of 12 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
= 90 x 50 x 12
= 54000 cm
3 9 u = 54000 cm
3 1 u = 54000 ÷ 9 = 6000 cm
3 4 u = 4 x 6000 = 24000 cm
3 Volume of water in
25 of the bucket = 24000 cm
3 Volume of the bucket
= 24000 ÷
25 = 24000 x
52 = 60000 cm
3 (b)
Volume of the container
= 90 x 50 x 35
= 157500 cm
3 Number of buckets to fill the container
= 157500 ÷ 60000
= 2 r 37500
Minimum number of buckets to fill the container
= 2 + 1
= 3
Answer(s): (a) 60000 cm
3; (b) 3