A rectangular tank, 90 cm by 45 cm by 35 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a bucket is 5 : 6. If
23 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
= 90 x 45 x 12
= 48600 cm
3 5 u = 48600 cm
3 1 u = 48600 ÷ 5 = 9720 cm
3 6 u = 6 x 9720 = 58320 cm
3 Volume of water in
23 of the bucket = 58320 cm
3 Volume of the bucket
= 58320 ÷
23 = 58320 x
32 = 87480 cm
3 (b)
Volume of the tank
= 90 x 45 x 35
= 141750 cm
3 Number of buckets to fill the tank
= 141750 ÷ 87480
= 1 r 54270
Minimum number of buckets to fill the tank
= 1 + 1
= 2
Answer(s): (a) 87480 cm
3; (b) 2