A rectangular tank, 70 cm by 50 cm by 35 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 7 : 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 50 x 11
= 38500 cm
3 7 u = 38500 cm
3 1 u = 38500 ÷ 7 = 5500 cm
3 6 u = 6 x 5500 = 33000 cm
3 Volume of water in
23 of the bucket = 33000 cm
3 Volume of the bucket
= 33000 ÷
23 = 33000 x
32 = 49500 cm
3 (b)
Volume of the tank
= 70 x 50 x 35
= 122500 cm
3 Number of buckets to fill the tank
= 122500 ÷ 49500
= 2 r 23500
Minimum number of buckets to fill the tank
= 2 + 1
= 3
Answer(s): (a) 49500 cm
3; (b) 3