A rectangular container, 70 cm by 50 cm by 50 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
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 50 x 6
= 21000 cm
3 7 u = 21000 cm
3 1 u = 21000 ÷ 7 = 3000 cm
3 4 u = 4 x 3000 = 12000 cm
3 Volume of water in
23 of the bucket = 12000 cm
3 Volume of the bucket
= 12000 ÷
23 = 12000 x
32 = 18000 cm
3 (b)
Volume of the container
= 70 x 50 x 50
= 175000 cm
3 Number of buckets to fill the container
= 175000 ÷ 18000
= 9 r 13000
Minimum number of buckets to fill the container
= 9 + 1
= 10
Answer(s): (a) 18000 cm
3; (b) 10