A rectangular container, 80 cm by 50 cm by 50 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the container to that in a bucket is 7 : 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
= 80 x 50 x 7
= 28000 cm
3 7 u = 28000 cm
3 1 u = 28000 ÷ 7 = 4000 cm
3 2 u = 2 x 4000 = 8000 cm
3 Volume of water in
23 of the bucket = 8000 cm
3 Volume of the bucket
= 8000 ÷
23 = 8000 x
32 = 12000 cm
3 (b)
Volume of the container
= 80 x 50 x 50
= 200000 cm
3 Number of buckets to fill the container
= 200000 ÷ 12000
= 16 r 8000
Minimum number of buckets to fill the container
= 16 + 1
= 17
Answer(s): (a) 12000 cm
3; (b) 17