A rectangular container, 90 cm by 40 cm by 50 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the container to that in a bucket is 9 : 4. If
23 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 40 x 6
= 21600 cm
3 9 u = 21600 cm
3 1 u = 21600 ÷ 9 = 2400 cm
3 4 u = 4 x 2400 = 9600 cm
3 Volume of water in
23 of the bucket = 9600 cm
3 Volume of the bucket
= 9600 ÷
23 = 9600 x
32 = 14400 cm
3 (b)
Volume of the container
= 90 x 40 x 50
= 180000 cm
3 Number of buckets to fill the container
= 180000 ÷ 14400
= 12 r 7200
Minimum number of buckets to fill the container
= 12 + 1
= 13
Answer(s): (a) 14400 cm
3; (b) 13