A rectangular container, 90 cm by 50 cm by 40 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 9 : 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 50 x 10
= 45000 cm
3 9 u = 45000 cm
3 1 u = 45000 ÷ 9 = 5000 cm
3 2 u = 2 x 5000 = 10000 cm
3 Volume of water in
23 of the bucket = 10000 cm
3 Volume of the bucket
= 10000 ÷
23 = 10000 x
32 = 15000 cm
3 (b)
Volume of the container
= 90 x 50 x 40
= 180000 cm
3 Number of buckets to fill the container
= 180000 ÷ 15000
= 12 r 0
Minimum number of buckets to fill the container
= 12 + 1
= 13
Answer(s): (a) 15000 cm
3; (b) 13