which of the following ratio give the drawing exact half size of the object ?i
Which of the following ratios give the drawing exact half size of the object?
Answer:
To determine which ratio would reduce the drawing to exactly half the size of the object, we need to consider the concept of a scale ratio in technical drawing.
A scale ratio is typically written in the form of 1:n, where n is the scaling factor. The number 1 represents the dimensions of the drawing, and the number n represents the corresponding dimensions of the actual object.
To illustrate:
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Understanding the Scale Ratio
- When the ratio is 1:2, it means that every unit on the drawing represents 2 units on the actual object. Therefore, the drawing is half the size of the object.
- Mathematically, if the dimension of an object is D, then the dimension of the drawing would be \frac{D}{2}.
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Examples of Ratio Analysis
- Ratio 1:1: This is a full-size drawing, meaning the drawing and the object are the same size.
- Ratio 1:2: This is a half-size drawing. The drawing is scaled down to 50% of the actual object size.
- Ratio 1:3: The drawing is one-third the size of the actual object.
- Ratio 2:1: The drawing is twice the size of the actual object.
Therefore, based on the concept described above:
Final Answer:
The ratio that gives the drawing exactly half the size of the object is 1:2.