A rectangular container, 80 cm by 45 cm by 35 cm, is filled with water to a height of 10 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
= 80 x 45 x 10
= 36000 cm
3 5 u = 36000 cm
3 1 u = 36000 ÷ 5 = 7200 cm
3 2 u = 2 x 7200 = 14400 cm
3 Volume of water in
23 of the bucket = 14400 cm
3 Volume of the bucket
= 14400 ÷
23 = 14400 x
32 = 21600 cm
3 (b)
Volume of the container
= 80 x 45 x 35
= 126000 cm
3 Number of buckets to fill the container
= 126000 ÷ 21600
= 5 r 18000
Minimum number of buckets to fill the container
= 5 + 1
= 6
Answer(s): (a) 21600 cm
3; (b) 6