A rectangular tank, 70 cm by 55 cm by 50 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 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 10
= 38500 cm
3 7 u = 38500 cm
3 1 u = 38500 ÷ 7 = 5500 cm
3 2 u = 2 x 5500 = 11000 cm
3 Volume of water in
23 of the bucket = 11000 cm
3 Volume of the bucket
= 11000 ÷
23 = 11000 x
32 = 16500 cm
3 (b)
Volume of the tank
= 70 x 55 x 50
= 192500 cm
3 Number of buckets to fill the tank
= 192500 ÷ 16500
= 11 r 11000
Minimum number of buckets to fill the tank
= 11 + 1
= 12
Answer(s): (a) 16500 cm
3; (b) 12