A rectangular tank, 70 cm by 40 cm by 35 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the tank to that in a bucket is 5 : 6. 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 40 x 10
= 28000 cm
3 5 u = 28000 cm
3 1 u = 28000 ÷ 5 = 5600 cm
3 6 u = 6 x 5600 = 33600 cm
3 Volume of water in
35 of the bucket = 33600 cm
3 Volume of the bucket
= 33600 ÷
35 = 33600 x
53 = 56000 cm
3 (b)
Volume of the tank
= 70 x 40 x 35
= 98000 cm
3 Number of buckets to fill the tank
= 98000 ÷ 56000
= 1 r 42000
Minimum number of buckets to fill the tank
= 1 + 1
= 2
Answer(s): (a) 56000 cm
3; (b) 2