A rectangular container, 70 cm by 45 cm by 40 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 : 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
= 70 x 45 x 12
= 37800 cm
3 9 u = 37800 cm
3 1 u = 37800 ÷ 9 = 4200 cm
3 2 u = 2 x 4200 = 8400 cm
3 Volume of water in
67 of the bucket = 8400 cm
3 Volume of the bucket
= 8400 ÷
67 = 8400 x
76 = 9800 cm
3 (b)
Volume of the container
= 70 x 45 x 40
= 126000 cm
3 Number of buckets to fill the container
= 126000 ÷ 9800
= 12 r 8400
Minimum number of buckets to fill the container
= 12 + 1
= 13
Answer(s): (a) 9800 cm
3; (b) 13