A rectangular container, 90 cm by 50 cm by 35 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 9 : 2. 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 9
= 40500 cm
3 9 u = 40500 cm
3 1 u = 40500 ÷ 9 = 4500 cm
3 2 u = 2 x 4500 = 9000 cm
3 Volume of water in
25 of the bucket = 9000 cm
3 Volume of the bucket
= 9000 ÷
25 = 9000 x
52 = 22500 cm
3 (b)
Volume of the container
= 90 x 50 x 35
= 157500 cm
3 Number of buckets to fill the container
= 157500 ÷ 22500
= 7 r 0
Minimum number of buckets to fill the container
= 7 + 1
= 8
Answer(s): (a) 22500 cm
3; (b) 8