A rectangular tank, 80 cm by 45 cm by 40 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 9 : 2. 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
= 80 x 45 x 5
= 18000 cm
3 9 u = 18000 cm
3 1 u = 18000 ÷ 9 = 2000 cm
3 2 u = 2 x 2000 = 4000 cm
3 Volume of water in
23 of the bucket = 4000 cm
3 Volume of the bucket
= 4000 ÷
23 = 4000 x
32 = 6000 cm
3 (b)
Volume of the tank
= 80 x 45 x 40
= 144000 cm
3 Number of buckets to fill the tank
= 144000 ÷ 6000
= 24 r 0
Minimum number of buckets to fill the tank
= 24 + 1
= 25
Answer(s): (a) 6000 cm
3; (b) 25