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kramer
3 years ago
14

Which scale would produce the smallest drawing

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

1 Millimeter: 1 meter

Step-by-step explanation:

a)  the scale is \frac{1}{100}

That means ----> 1 unit in the drawing represent 100 units in the actual

b) the scale is  \frac{1}{1}\frac{mm}{m}

Remember that

1 m=1,000 mm

substitute

\frac{1}{1,000}\frac{mm}{mm}=]\frac{1}{1,000}

That means ----> 1 unit in the drawing represent 1,000 units in the actual

c) the scale is  \frac{1}{10}\frac{in}{ft}

Remember that

1 ft=12 in

substitute

\frac{1}{10}\frac{in}{ft}=]\frac{1}{120}

That means ----> 1 unit in the drawing represent 120 units in the actual

<em>Example</em>

If we would like to draw a segment that in reality measures 1000 units, then

with scale a) \frac{1}{100}

The length of the drawing is 1,000/100=10 units

with scale b) \frac{1}{1,000}

The length of the drawing is 1,000/1,000=1 unit

with scale c) \frac{1}{120}

The length of the drawing is 1,000/120=8.3 units

therefore

The smallest drawing is with the scale of  \frac{1}{1,000}

so

1 Millimeter: 1 meter

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