A rectangular container, 70 cm by 45 cm by 45 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the container to that in a bucket is 7 : 4. 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
= 70 x 45 x 6
= 18900 cm
3 7 u = 18900 cm
3 1 u = 18900 ÷ 7 = 2700 cm
3 4 u = 4 x 2700 = 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
= 70 x 45 x 45
= 141750 cm
3 Number of buckets to fill the container
= 141750 ÷ 18000
= 7 r 15750
Minimum number of buckets to fill the container
= 7 + 1
= 8
Answer(s): (a) 18000 cm
3; (b) 8