A rectangular container, 70 cm by 40 cm by 40 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the container to that in a bucket is 7 : 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
= 70 x 40 x 10
= 28000 cm
3 7 u = 28000 cm
3 1 u = 28000 ÷ 7 = 4000 cm
3 4 u = 4 x 4000 = 16000 cm
3 Volume of water in
25 of the bucket = 16000 cm
3 Volume of the bucket
= 16000 ÷
25 = 16000 x
52 = 40000 cm
3 (b)
Volume of the container
= 70 x 40 x 40
= 112000 cm
3 Number of buckets to fill the container
= 112000 ÷ 40000
= 2 r 32000
Minimum number of buckets to fill the container
= 2 + 1
= 3
Answer(s): (a) 40000 cm
3; (b) 3