A rectangular container, 70 cm by 45 cm by 35 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 9 : 4. If
25 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
= 70 x 45 x 7
= 22050 cm
3 9 u = 22050 cm
3 1 u = 22050 ÷ 9 = 2450 cm
3 4 u = 4 x 2450 = 9800 cm
3 Volume of water in
25 of the bucket = 9800 cm
3 Volume of the bucket
= 9800 ÷
25 = 9800 x
52 = 24500 cm
3 (b)
Volume of the container
= 70 x 45 x 35
= 110250 cm
3 Number of buckets to fill the container
= 110250 ÷ 24500
= 4 r 12250
Minimum number of buckets to fill the container
= 4 + 1
= 5
Answer(s): (a) 24500 cm
3; (b) 5