A rectangular tank, 70 cm by 55 cm by 45 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a bucket is 11 : 4. If
25 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 55 x 5
= 19250 cm
3 11 u = 19250 cm
3 1 u = 19250 ÷ 11 = 1750 cm
3 4 u = 4 x 1750 = 7000 cm
3 Volume of water in
25 of the bucket = 7000 cm
3 Volume of the bucket
= 7000 ÷
25 = 7000 x
52 = 17500 cm
3 (b)
Volume of the tank
= 70 x 55 x 45
= 173250 cm
3 Number of buckets to fill the tank
= 173250 ÷ 17500
= 9 r 15750
Minimum number of buckets to fill the tank
= 9 + 1
= 10
Answer(s): (a) 17500 cm
3; (b) 10