A rectangular container, 90 cm by 55 cm by 45 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 11 : 6. If
34 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 55 x 10
= 49500 cm
3 11 u = 49500 cm
3 1 u = 49500 ÷ 11 = 4500 cm
3 6 u = 6 x 4500 = 27000 cm
3 Volume of water in
34 of the bucket = 27000 cm
3 Volume of the bucket
= 27000 ÷
34 = 27000 x
43 = 36000 cm
3 (b)
Volume of the container
= 90 x 55 x 45
= 222750 cm
3 Number of buckets to fill the container
= 222750 ÷ 36000
= 6 r 6750
Minimum number of buckets to fill the container
= 6 + 1
= 7
Answer(s): (a) 36000 cm
3; (b) 7