A rectangular tank, 80 cm by 55 cm by 50 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 9 : 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
= 80 x 55 x 9
= 39600 cm
3 9 u = 39600 cm
3 1 u = 39600 ÷ 9 = 4400 cm
3 4 u = 4 x 4400 = 17600 cm
3 Volume of water in
25 of the bucket = 17600 cm
3 Volume of the bucket
= 17600 ÷
25 = 17600 x
52 = 44000 cm
3 (b)
Volume of the tank
= 80 x 55 x 50
= 220000 cm
3 Number of buckets to fill the tank
= 220000 ÷ 44000
= 5 r 0
Minimum number of buckets to fill the tank
= 5 + 1
= 6
Answer(s): (a) 44000 cm
3; (b) 6