A rectangular tank, 70 cm by 40 cm by 35 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the tank to that in a bucket is 7 : 6. If
57 of the bucket is filled with water, find
- the volume of the bucket.
- the minimum number of such buckets to fill the tank.
(a)
Volume of water in the tank
= 70 x 40 x 9
= 25200 cm
3 7 u = 25200 cm
3 1 u = 25200 ÷ 7 = 3600 cm
3 6 u = 6 x 3600 = 21600 cm
3 Volume of water in
57 of the bucket = 21600 cm
3 Volume of the bucket
= 21600 ÷
57 = 21600 x
75 = 30240 cm
3 (b)
Volume of the tank
= 70 x 40 x 35
= 98000 cm
3 Number of buckets to fill the tank
= 98000 ÷ 30240
= 3 r 7280
Minimum number of buckets to fill the tank
= 3 + 1
= 4
Answer(s): (a) 30240 cm
3; (b) 4