A rectangular container, 70 cm by 50 cm by 40 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the container to that in a bucket is 7 : 6. 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 50 x 10
= 35000 cm
3 7 u = 35000 cm
3 1 u = 35000 ÷ 7 = 5000 cm
3 6 u = 6 x 5000 = 30000 cm
3 Volume of water in
25 of the bucket = 30000 cm
3 Volume of the bucket
= 30000 ÷
25 = 30000 x
52 = 75000 cm
3 (b)
Volume of the container
= 70 x 50 x 40
= 140000 cm
3 Number of buckets to fill the container
= 140000 ÷ 75000
= 1 r 65000
Minimum number of buckets to fill the container
= 1 + 1
= 2
Answer(s): (a) 75000 cm
3; (b) 2