A rectangular tank, 70 cm by 55 cm by 40 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the tank to that in a bucket is 11 : 2. If
25 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 55 x 8
= 30800 cm
3 11 u = 30800 cm
3 1 u = 30800 ÷ 11 = 2800 cm
3 2 u = 2 x 2800 = 5600 cm
3 Volume of water in
25 of the bucket = 5600 cm
3 Volume of the bucket
= 5600 ÷
25 = 5600 x
52 = 14000 cm
3 (b)
Volume of the tank
= 70 x 55 x 40
= 154000 cm
3 Number of buckets to fill the tank
= 154000 ÷ 14000
= 11 r 0
Minimum number of buckets to fill the tank
= 11 + 1
= 12
Answer(s): (a) 14000 cm
3; (b) 12