a scale of 1:50 means

select one:
a. 50mm on the drawing means 1 metre in real life
b. 50mm on the drawing means 1mm in real life
c. 1mm on the drawing represents 50mm in real life
d. 1mm on the drawing means 50metres in real life

Question

a scale of 1:50 means

select one:
a. 50mm on the drawing means 1 metre in real life
b. 50mm on the drawing means 1mm in real life
c. 1mm on the drawing represents 50mm in real life
d. 1mm on the drawing means 50metres in real life

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Floor Plan Scales" ], "new_concepts": [ "Scale Interpretation", "Metric Conversions" ], "current_concepts": [ "Floor Plan Scales", "Scale Interpretation", "Metric Conversions" ] } ## Define scale ratio Using the *Floor Plan Scales* knowledge point $$ \text{Scale} = 1:50 \implies \frac{\text{Drawing Dimension}}{\text{Actual Dimension}} = \frac{1}{50} $$ ## Analyze option units Using the *Floor Plan Scales* knowledge point $$ \begin{aligned} &\text{Option a: } \frac{50\text{ mm}}{1\text{ m}} = \frac{50\text{ mm}}{1000\text{ mm}} = \frac{1}{20} e \frac{1}{50}\ &\text{Option b: } \frac{50\text{ mm}}{1\text{ mm}} = 50 e \frac{1}{50}\ &\text{Option c: } \frac{1\text{ mm}}{50\text{ mm}} = \frac{1}{50}\ &\text{Option d: } \frac{1\text{ mm}}{50\text{ m}} = \frac{1\text{ mm}}{50000\text{ mm}} = \frac{1}{50000} e \frac{1}{50} \end{aligned} $$

a. 50mm on the drawing means 1 metre in real life

b. 50mm on the drawing means 1mm in real life

c. 1mm on the drawing represents 50mm in real life

d. 1mm on the drawing means 50metres in real life

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Floor Plan Scales" ] }

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QUESTION IMAGE

Question

Explanation:

Define scale ratio

Analyze option units

Answer: