A rectangular container, 90 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 5 : 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
= 90 x 45 x 6
= 24300 cm
3 5 u = 24300 cm
3 1 u = 24300 ÷ 5 = 4860 cm
3 4 u = 4 x 4860 = 19440 cm
3 Volume of water in
23 of the bucket = 19440 cm
3 Volume of the bucket
= 19440 ÷
23 = 19440 x
32 = 29160 cm
3 (b)
Volume of the container
= 90 x 45 x 45
= 182250 cm
3 Number of buckets to fill the container
= 182250 ÷ 29160
= 6 r 7290
Minimum number of buckets to fill the container
= 6 + 1
= 7
Answer(s): (a) 29160 cm
3; (b) 7