A rectangular tank, 70 cm by 40 cm by 40 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a bucket is 7 : 4. If
67 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 40 x 6
= 16800 cm
3 7 u = 16800 cm
3 1 u = 16800 ÷ 7 = 2400 cm
3 4 u = 4 x 2400 = 9600 cm
3 Volume of water in
67 of the bucket = 9600 cm
3 Volume of the bucket
= 9600 ÷
67 = 9600 x
76 = 11200 cm
3 (b)
Volume of the tank
= 70 x 40 x 40
= 112000 cm
3 Number of buckets to fill the tank
= 112000 ÷ 11200
= 10 r 0
Minimum number of buckets to fill the tank
= 10 + 1
= 11
Answer(s): (a) 11200 cm
3; (b) 11