A rectangular container, 70 cm by 45 cm by 35 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 7 : 2. 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 5
= 15750 cm
3 7 u = 15750 cm
3 1 u = 15750 ÷ 7 = 2250 cm
3 2 u = 2 x 2250 = 4500 cm
3 Volume of water in
25 of the bucket = 4500 cm
3 Volume of the bucket
= 4500 ÷
25 = 4500 x
52 = 11250 cm
3 (b)
Volume of the container
= 70 x 45 x 35
= 110250 cm
3 Number of buckets to fill the container
= 110250 ÷ 11250
= 9 r 9000
Minimum number of buckets to fill the container
= 9 + 1
= 10
Answer(s): (a) 11250 cm
3; (b) 10