Which scale will produce the smallest drawing?
A) 1cm: 5m
B) 1mm: 50m
C) 5cm: 10m
D) 10cm: 25m
A)
1 cm : 5 m
= 1 cm : 500 cm
= 1 : 500
B) ...
C)
5 cm : 10 m
= 5 cm : 1000 cm
= 5 : 1000
= 1 : 200
D) ...
you work out the other two, then decide
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To determine which scale will produce the smallest drawing, we need to find the scale with the largest ratio of distance traveled on paper to actual distance.
Let's calculate the ratios for each scale:
A) 1cm : 5m
The ratio is 1 : 500
(1 cm on paper represents 500 cm in real life)
B) 1mm : 50m
The ratio is 1 : 50000
(1 mm on paper represents 50000 mm in real life)
C) 5cm : 10m
The ratio is 5 : 100
(5 cm on paper represents 100 cm in real life)
D) 10cm : 25m
The ratio is 10 : 250
(10 cm on paper represents 250 cm in real life)
Comparing the ratios, we can see that option B) has the largest ratio of 1:50000, which means it will produce the smallest drawing.
Therefore, the correct answer is B) 1mm : 50m.
To determine which scale will produce the smallest drawing, we need to calculate the ratio between the length on the drawing and the corresponding length in reality for each given option. The scale with the smallest ratio will produce the smallest drawing.
Let's analyze each option:
A) 1cm: 5m
The ratio is 1:500 (1cm in the drawing represents 5m in reality).
B) 1mm: 50m
The ratio is 1:50,000 (1mm in the drawing represents 50m in reality).
C) 5cm: 10m
The ratio is 5:100 (5cm in the drawing represents 10m in reality), which can be simplified to 1:20.
D) 10cm: 25m
The ratio is 10:250 (10cm in the drawing represents 25m in reality), which can be simplified to 2:5.
Now, let's compare the ratios:
Option A: 1:500
Option B: 1:50,000
Option C: 1:20
Option D: 2:5
Among the given options, the scale with the smallest ratio (which corresponds to the smallest drawing) is option B, 1mm: 50m.