A rectangular tank, 70 cm by 50 cm by 45 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 7 : 2. If
35 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 50 x 12
= 42000 cm
3 7 u = 42000 cm
3 1 u = 42000 ÷ 7 = 6000 cm
3 2 u = 2 x 6000 = 12000 cm
3 Volume of water in
35 of the bucket = 12000 cm
3 Volume of the bucket
= 12000 ÷
35 = 12000 x
53 = 20000 cm
3 (b)
Volume of the tank
= 70 x 50 x 45
= 157500 cm
3 Number of buckets to fill the tank
= 157500 ÷ 20000
= 7 r 17500
Minimum number of buckets to fill the tank
= 7 + 1
= 8
Answer(s): (a) 20000 cm
3; (b) 8