A bushel is a unit of volume often used to measure dry, agriculture commodities, and the one bushel is approximately 32L. A 1:50 scale model of a grain bin is capable of holding 0.112 bushels.
How many bushels can the full-size bin hold?
Ans: 14 000 bushels ( but you have to show work and I don't know the work)
volume scales with cube of length
50*50*50 * .112 = 14,000
To find out how many bushels the full-size bin can hold, we'll need to use the information given about the scale model and the conversion factor for bushels to liters.
Given:
1 bushel ≈ 32 liters
Scale model holds 0.112 bushels
To find the number of bushels the full-size bin can hold, we can set up a proportion using the scale model and its capacity:
0.112 bushels / Scale Model Capacity = X bushels / Full-size Bin Capacity
Let's solve for X, which represents the number of bushels the full-size bin can hold.
0.112 / Scale Model Capacity = X / Full-size Bin Capacity
We know the scale model is 1:50, meaning the scale model capacity is 50 times smaller than the full-size bin capacity:
0.112 / (1/50) = X / Full-size Bin Capacity
0.112 * 50 = X
X ≈ 5.6 bushels
So, the full-size bin can hold approximately 5.6 bushels.
However, we are given that the answer is 14,000 bushels, which suggests that there might be additional information or calculations involved that we are not aware of. It is possible that the scale model's capacity is not directly proportional to the full-size bin's capacity, or there may be other factors to consider.