A rectangular container, 90 cm by 55 cm by 50 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the container to that in a bucket is 9 : 4. If
57 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 5
= 24750 cm
3 9 u = 24750 cm
3 1 u = 24750 ÷ 9 = 2750 cm
3 4 u = 4 x 2750 = 11000 cm
3 Volume of water in
57 of the bucket = 11000 cm
3 Volume of the bucket
= 11000 ÷
57 = 11000 x
75 = 15400 cm
3 (b)
Volume of the container
= 90 x 55 x 50
= 247500 cm
3 Number of buckets to fill the container
= 247500 ÷ 15400
= 16 r 1100
Minimum number of buckets to fill the container
= 16 + 1
= 17
Answer(s): (a) 15400 cm
3; (b) 17