A rectangular container, 90 cm by 55 cm by 40 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the container to that in a bucket is 11 : 2. If
35 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 55 x 12
= 59400 cm
3 11 u = 59400 cm
3 1 u = 59400 ÷ 11 = 5400 cm
3 2 u = 2 x 5400 = 10800 cm
3 Volume of water in
35 of the bucket = 10800 cm
3 Volume of the bucket
= 10800 ÷
35 = 10800 x
53 = 18000 cm
3 (b)
Volume of the container
= 90 x 55 x 40
= 198000 cm
3 Number of buckets to fill the container
= 198000 ÷ 18000
= 11 r 0
Minimum number of buckets to fill the container
= 11 + 1
= 12
Answer(s): (a) 18000 cm
3; (b) 12