A rectangular tank, 70 cm by 55 cm by 35 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a bucket is 11 : 2. 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 55 x 12
= 46200 cm
3 11 u = 46200 cm
3 1 u = 46200 ÷ 11 = 4200 cm
3 2 u = 2 x 4200 = 8400 cm
3 Volume of water in
57 of the bucket = 8400 cm
3 Volume of the bucket
= 8400 ÷
57 = 8400 x
75 = 11760 cm
3 (b)
Volume of the tank
= 70 x 55 x 35
= 134750 cm
3 Number of buckets to fill the tank
= 134750 ÷ 11760
= 11 r 5390
Minimum number of buckets to fill the tank
= 11 + 1
= 12
Answer(s): (a) 11760 cm
3; (b) 12