A rectangular tank, 90 cm by 40 cm by 45 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the tank to that in a bucket is 5 : 4. 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 40 x 7
= 25200 cm
3 5 u = 25200 cm
3 1 u = 25200 ÷ 5 = 5040 cm
3 4 u = 4 x 5040 = 20160 cm
3 Volume of water in
23 of the bucket = 20160 cm
3 Volume of the bucket
= 20160 ÷
23 = 20160 x
32 = 30240 cm
3 (b)
Volume of the tank
= 90 x 40 x 45
= 162000 cm
3 Number of buckets to fill the tank
= 162000 ÷ 30240
= 5 r 10800
Minimum number of buckets to fill the tank
= 5 + 1
= 6
Answer(s): (a) 30240 cm
3; (b) 6