A rectangular tank, 70 cm by 55 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a bucket is 7 : 2. 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 5
= 19250 cm
3 7 u = 19250 cm
3 1 u = 19250 ÷ 7 = 2750 cm
3 2 u = 2 x 2750 = 5500 cm
3 Volume of water in
23 of the bucket = 5500 cm
3 Volume of the bucket
= 5500 ÷
23 = 5500 x
32 = 8250 cm
3 (b)
Volume of the tank
= 70 x 55 x 40
= 154000 cm
3 Number of buckets to fill the tank
= 154000 ÷ 8250
= 18 r 5500
Minimum number of buckets to fill the tank
= 18 + 1
= 19
Answer(s): (a) 8250 cm
3; (b) 19