Technical Calculator

Scale Factor Calculator

Scale Factor
Scale Length
Real length

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Scale Factor?

“A scale thing is the connection (ratio) between the measurements of corresponding sides of similar shapes. It quantifies the trade in size whilst a shape is scaled”

The way to discover a Scale aspect?

Scale Factor = Scale Size Real Size

Example:

What is the real length of an object with a scale length of 64 cm and a scale factor of 5:1 in inches?

Solution (Step by Step):

Step 1: Understand the Scale Factor

The scale factor indicates that the real object is 5 times larger than the scaled object. This means:

\[ \text{Scale Factor} = \frac{5}{1} \]

Step 2: Convert the Scale Length to Inches

The given scale length is 64 cm. To convert to inches, use the conversion factor \(1 \, \text{cm} = 0.3937 \, \text{inches}\):

\[ \text{Scale Length (in inches)} = 64 \times 0.3937 = 25.2 \, \text{inches} \]

Step 3: Calculate the Real Length

Now, multiply the scale length by the scale factor to find the real length:

\[ \text{Real Length} = \text{Scale Factor} \times \text{Scale Length (in inches)} \]

\[ \text{Real Length} = 5 \times 25.2 = 126 \, \text{inches} \]

Final Answer: The real length of the object is 126 inches.

FAQs:

What are scale factors used for?

A scale element is the cost used to create a smaller or large model of a given shape. It best resizes the figures without changing the scale of a shape.

what's the scale 1 to one hundred?

The scale of 10:one hundred suggests that there are 10 gadgets on a version that shows 1000 units.