A rectangular tank, 90 cm by 55 cm by 40 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 : 2. 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
= 90 x 55 x 9
= 44550 cm
3 9 u = 44550 cm
3 1 u = 44550 ÷ 9 = 4950 cm
3 2 u = 2 x 4950 = 9900 cm
3 Volume of water in
67 of the bucket = 9900 cm
3 Volume of the bucket
= 9900 ÷
67 = 9900 x
76 = 11550 cm
3 (b)
Volume of the tank
= 90 x 55 x 40
= 198000 cm
3 Number of buckets to fill the tank
= 198000 ÷ 11550
= 17 r 1650
Minimum number of buckets to fill the tank
= 17 + 1
= 18
Answer(s): (a) 11550 cm
3; (b) 18