A rectangular tank, 70 cm by 55 cm by 40 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a bucket is 11 : 4. If
34 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 6
= 23100 cm
3 11 u = 23100 cm
3 1 u = 23100 ÷ 11 = 2100 cm
3 4 u = 4 x 2100 = 8400 cm
3 Volume of water in
34 of the bucket = 8400 cm
3 Volume of the bucket
= 8400 ÷
34 = 8400 x
43 = 11200 cm
3 (b)
Volume of the tank
= 70 x 55 x 40
= 154000 cm
3 Number of buckets to fill the tank
= 154000 ÷ 11200
= 13 r 8400
Minimum number of buckets to fill the tank
= 13 + 1
= 14
Answer(s): (a) 11200 cm
3; (b) 14