A rectangular tank, 90 cm by 45 cm by 50 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 5 : 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
= 90 x 45 x 5
= 20250 cm
3 5 u = 20250 cm
3 1 u = 20250 ÷ 5 = 4050 cm
3 2 u = 2 x 4050 = 8100 cm
3 Volume of water in
23 of the bucket = 8100 cm
3 Volume of the bucket
= 8100 ÷
23 = 8100 x
32 = 12150 cm
3 (b)
Volume of the tank
= 90 x 45 x 50
= 202500 cm
3 Number of buckets to fill the tank
= 202500 ÷ 12150
= 16 r 8100
Minimum number of buckets to fill the tank
= 16 + 1
= 17
Answer(s): (a) 12150 cm
3; (b) 17