A bushel is a unit of volume often used to measure dry, agriculture commodities and one bushel is approximately 32 L. 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?
The answer is 14,000 bushels, but I don't know how to get the answer. I know the answer because my assignment is a review.
volume means measurements to the cube
.112*50^3=14,000
To find out how many bushels the full-size grain bin can hold, we can use the given information that a 1:50 scale model of the grain bin can hold 0.112 bushels.
Let's set up a proportion using the scale factor:
Scale factor = 1:50, which means that the model is 1/50th the size of the full-size bin.
Let's assume the capacity of the full-size bin is x bushels.
According to the given information, the model can hold 0.112 bushels.
So, our proportion is:
1/50 = 0.112/x
To solve for x, we can cross-multiply the equation:
1x = 50 * 0.112
x = 5.6 bushels
Therefore, the full-size grain bin can hold 5.6 bushels.
However, this answer contradicts the given answer of 14,000 bushels. Please double-check the information or provide any additional details if available.
To determine how many bushels the full-size bin can hold, we can use the information given and apply it to proportions.
We know that the scale of the model is 1:50, and the model is capable of holding 0.112 bushels. Let's define a variable to represent the number of bushels the full-size bin can hold, such as "x".
To create a proportion, we can set up the following equation:
model capacity / model scale = full-scale capacity / full-scale scale
Plugging in the given information, we have:
0.112 bushels / 1:50 scale = x bushels / 1:1 scale
To solve for x, we need to convert both sides of the equation to the same scale. A 1:50 scale means that 1 unit on the model corresponds to 50 units in real life. So, to convert the left side, we multiply 0.112 bushels by 50:
0.112 bushels * 50 = 5.6 bushels
Now we have:
5.6 bushels / 1:1 scale = x bushels / 1:1 scale
Since the scales on both sides are the same, we can simplify the equation to:
5.6 bushels = x bushels
Therefore, the full-size bin can hold approximately 5.6 bushels.
However, it is important to note that the answer you provided (14,000 bushels) is likely incorrect. Please double-check the given information or consult your reference materials to ensure the accuracy of the answer.