A rectangular container, 80 cm by 55 cm by 45 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 11 : 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 55 x 7
= 30800 cm
3 11 u = 30800 cm
3 1 u = 30800 ÷ 11 = 2800 cm
3 2 u = 2 x 2800 = 5600 cm
3 Volume of water in
23 of the bucket = 5600 cm
3 Volume of the bucket
= 5600 ÷
23 = 5600 x
32 = 8400 cm
3 (b)
Volume of the container
= 80 x 55 x 45
= 198000 cm
3 Number of buckets to fill the container
= 198000 ÷ 8400
= 23 r 4800
Minimum number of buckets to fill the container
= 23 + 1
= 24
Answer(s): (a) 8400 cm
3; (b) 24