A rectangular container, 70 cm by 45 cm by 50 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the container to that in a bucket is 7 : 4. If
67 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 8
= 25200 cm
3 7 u = 25200 cm
3 1 u = 25200 ÷ 7 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
67 of the bucket = 14400 cm
3 Volume of the bucket
= 14400 ÷
67 = 14400 x
76 = 16800 cm
3 (b)
Volume of the container
= 70 x 45 x 50
= 157500 cm
3 Number of buckets to fill the container
= 157500 ÷ 16800
= 9 r 6300
Minimum number of buckets to fill the container
= 9 + 1
= 10
Answer(s): (a) 16800 cm
3; (b) 10