A rectangular container, 90 cm by 45 cm by 35 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 9 : 2. If
67 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 45 x 10
= 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
67 of the bucket = 9000 cm
3 Volume of the bucket
= 9000 ÷
67 = 9000 x
76 = 10500 cm
3 (b)
Volume of the container
= 90 x 45 x 35
= 141750 cm
3 Number of buckets to fill the container
= 141750 ÷ 10500
= 13 r 5250
Minimum number of buckets to fill the container
= 13 + 1
= 14
Answer(s): (a) 10500 cm
3; (b) 14