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2 years ago

Which scale would produce the smallest drawing

Mathematics

1 answer:

Natali5045456 [20]2 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

Example

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 $\frac{1}{1,000}$

1 Millimeter: 1 meter

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