A rectangular container, 70 cm by 45 cm by 50 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the container to that in a bucket is 7 : 4. If
57 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 9
= 28350 cm
3 7 u = 28350 cm
3 1 u = 28350 ÷ 7 = 4050 cm
3 4 u = 4 x 4050 = 16200 cm
3 Volume of water in
57 of the bucket = 16200 cm
3 Volume of the bucket
= 16200 ÷
57 = 16200 x
75 = 22680 cm
3 (b)
Volume of the container
= 70 x 45 x 50
= 157500 cm
3 Number of buckets to fill the container
= 157500 ÷ 22680
= 6 r 21420
Minimum number of buckets to fill the container
= 6 + 1
= 7
Answer(s): (a) 22680 cm
3; (b) 7