Question:
If you draw an object measuring 1 cm on the paper, what would it be equivalent to at a scale of 1:100?
If you draw an object measuring 1 cm on the paper, what would it be equivalent to at a scale of 1:100?
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Remember that for any scale drawing, the real-life size is determined by multiplying the drawn size by the scale factor. In this case, 1 cm on paper represents 100 cm in real life.
Updated On: Aug 13, 2026
- 10 cm
- 1 meter
- 10 meters
- 1 cm
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The Correct Option is B
Approach Solution - 1
Step 1: Understand the scale.
At a scale of 1:100, 1 cm on the paper represents 100 cm in real life. Thus, to find the actual size of the object, we multiply the drawing size by 100.
Step 2: Calculate the real-life size.
Since 1 cm on the paper is equivalent to \( 1 \times 100 = 100 \) cm in real life, we convert this to meters: [ 100 cm = 1 \textmeter ]
Step 3: Conclusion.
Therefore, the equivalent size in real life is 1 meter. Final Answer: 10 meters.
At a scale of 1:100, 1 cm on the paper represents 100 cm in real life. Thus, to find the actual size of the object, we multiply the drawing size by 100.
Step 2: Calculate the real-life size.
Since 1 cm on the paper is equivalent to \( 1 \times 100 = 100 \) cm in real life, we convert this to meters: [ 100 cm = 1 \textmeter ]
Step 3: Conclusion.
Therefore, the equivalent size in real life is 1 meter. Final Answer: 10 meters.
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Approach Solution -2
Concept:
Step 1: Convert the scale ratio into a length statement.
A scale of 1:100 means 1 cm on the paper stands for 100 cm in real life.
Step 2: Convert that real-life length into a single clean unit.
$100\ \text{cm} = 1\ \text{m}$, so the scale can be restated directly as: 1 cm on paper $=$ 1 m in real life.
Step 3: Apply this directly to the given object.
The object measures 1 cm on paper, and 1 cm on paper always equals 1 m at this scale.
Final Answer: 1 meter
- Turn the scale itself into a direct length equivalence first ("1 cm on paper = 1 m in real life"), instead of multiplying by 100 and then converting units as two separate steps.
Step 1: Convert the scale ratio into a length statement.
A scale of 1:100 means 1 cm on the paper stands for 100 cm in real life.
Step 2: Convert that real-life length into a single clean unit.
$100\ \text{cm} = 1\ \text{m}$, so the scale can be restated directly as: 1 cm on paper $=$ 1 m in real life.
Step 3: Apply this directly to the given object.
The object measures 1 cm on paper, and 1 cm on paper always equals 1 m at this scale.
Final Answer: 1 meter
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