A rectangular tank, 80 cm by 45 cm by 50 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
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
= 80 x 45 x 5
= 18000 cm
3 5 u = 18000 cm
3 1 u = 18000 ÷ 5 = 3600 cm
3 2 u = 2 x 3600 = 7200 cm
3 Volume of water in
34 of the bucket = 7200 cm
3 Volume of the bucket
= 7200 ÷
34 = 7200 x
43 = 9600 cm
3 (b)
Volume of the tank
= 80 x 45 x 50
= 180000 cm
3 Number of buckets to fill the tank
= 180000 ÷ 9600
= 18 r 7200
Minimum number of buckets to fill the tank
= 18 + 1
= 19
Answer(s): (a) 9600 cm
3; (b) 19