A rectangular tank, 70 cm by 40 cm by 45 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the tank to that in a bucket is 11 : 6. 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 40 x 11
= 30800 cm
3 11 u = 30800 cm
3 1 u = 30800 ÷ 11 = 2800 cm
3 6 u = 6 x 2800 = 16800 cm
3 Volume of water in
25 of the bucket = 16800 cm
3 Volume of the bucket
= 16800 ÷
25 = 16800 x
52 = 42000 cm
3 (b)
Volume of the tank
= 70 x 40 x 45
= 126000 cm
3 Number of buckets to fill the tank
= 126000 ÷ 42000
= 3 r 0
Minimum number of buckets to fill the tank
= 3 + 1
= 4
Answer(s): (a) 42000 cm
3; (b) 4