A rectangular container, 70 cm by 55 cm by 40 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 7 : 2. If
23 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 55 x 7
= 26950 cm
3 7 u = 26950 cm
3 1 u = 26950 ÷ 7 = 3850 cm
3 2 u = 2 x 3850 = 7700 cm
3 Volume of water in
23 of the bucket = 7700 cm
3 Volume of the bucket
= 7700 ÷
23 = 7700 x
32 = 11550 cm
3 (b)
Volume of the container
= 70 x 55 x 40
= 154000 cm
3 Number of buckets to fill the container
= 154000 ÷ 11550
= 13 r 3850
Minimum number of buckets to fill the container
= 13 + 1
= 14
Answer(s): (a) 11550 cm
3; (b) 14