A rectangular tank, 80 cm by 45 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
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 9
= 32400 cm
3 9 u = 32400 cm
3 1 u = 32400 ÷ 9 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
34 of the bucket = 14400 cm
3 Volume of the bucket
= 14400 ÷
34 = 14400 x
43 = 19200 cm
3 (b)
Volume of the tank
= 80 x 45 x 50
= 180000 cm
3 Number of buckets to fill the tank
= 180000 ÷ 19200
= 9 r 7200
Minimum number of buckets to fill the tank
= 9 + 1
= 10
Answer(s): (a) 19200 cm
3; (b) 10