The length, breadth and height of a godown are 12m, 10m and 8m. It holds 1200 bags of grains. If each of the dimensions of another godown is double to this, how many bags of grains can be stored in that?Options2400720096004800
Question
The length, breadth and height of a godown are 12m, 10m and 8m. It holds 1200 bags of grains. If each of the dimensions of another godown is double to this, how many bags of grains can be stored in that?Options2400720096004800
Solution
The volume of the first godown is calculated by multiplying its length, breadth, and height. So, 12m * 10m * 8m = 960 cubic meters.
Since each bag of grain takes up a certain amount of volume in the godown, we can find out how much volume each bag takes up by dividing the total volume of the godown by the number of bags. So, 960 cubic meters / 1200 bags = 0.8 cubic meters/bag.
The dimensions of the second godown are double those of the first. So its volume is 2 * 2 * 2 = 8 times the volume of the first godown.
So, the volume of the second godown is 8 * 960 cubic meters = 7680 cubic meters.
Since each bag of grain takes up 0.8 cubic meters, the second godown can hold 7680 cubic meters / 0.8 cubic meters/bag = 9600 bags of grain.
So, the answer is 9600 bags.
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