A rectangular tank, 80 cm by 40 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 5 : 2. 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 40 x 5
= 16000 cm
3 5 u = 16000 cm
3 1 u = 16000 ÷ 5 = 3200 cm
3 2 u = 2 x 3200 = 6400 cm
3 Volume of water in
25 of the bucket = 6400 cm
3 Volume of the bucket
= 6400 ÷
25 = 6400 x
52 = 16000 cm
3 (b)
Volume of the tank
= 80 x 40 x 45
= 144000 cm
3 Number of buckets to fill the tank
= 144000 ÷ 16000
= 9 r 0
Minimum number of buckets to fill the tank
= 9 + 1
= 10
Answer(s): (a) 16000 cm
3; (b) 10