A rectangular tank, 70 cm by 55 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
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
= 70 x 55 x 11
= 42350 cm
3 11 u = 42350 cm
3 1 u = 42350 ÷ 11 = 3850 cm
3 6 u = 6 x 3850 = 23100 cm
3 Volume of water in
23 of the bucket = 23100 cm
3 Volume of the bucket
= 23100 ÷
23 = 23100 x
32 = 34650 cm
3 (b)
Volume of the tank
= 70 x 55 x 45
= 173250 cm
3 Number of buckets to fill the tank
= 173250 ÷ 34650
= 5 r 0
Minimum number of buckets to fill the tank
= 5 + 1
= 6
Answer(s): (a) 34650 cm
3; (b) 6