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 5 : 2. 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 5 u = 21600 cm
3 1 u = 21600 ÷ 5 = 4320 cm
3 2 u = 2 x 4320 = 8640 cm
3 Volume of water in
23 of the bucket = 8640 cm
3 Volume of the bucket
= 8640 ÷
23 = 8640 x
32 = 12960 cm
3 (b)
Volume of the container
= 90 x 40 x 50
= 180000 cm
3 Number of buckets to fill the container
= 180000 ÷ 12960
= 13 r 11520
Minimum number of buckets to fill the container
= 13 + 1
= 14
Answer(s): (a) 12960 cm
3; (b) 14