https://file.aiquickdraw.com/mathbot/file/1730073324149uwurr8la.jpg

To find the scale factor of the drawing relative to the statue, we divide the dimensions of the drawing by the corresponding dimensions of the statue. Let's compute:

1. **Height:**
   \[
   \text{Scale factor for height} = \frac{6}{36} = \frac{1}{6}
   \]

2. **Length:**
   \[
   \text{Scale factor for length} = \frac{5}{30} = \frac{1}{6}
   \]

Since both height and length have the same ratio, the **scale factor** is:
\[
\frac{1}{6}
\]

Thus, the correct answer is:
\[
\boxed{\frac{1}{6}}
\]

Do you have any questions or need further clarification?

---

Here are 5 related questions for deeper understanding:
1. What does it mean if two objects have a scale factor of 1?
2. How do you convert a scale factor from a fraction to a percentage?
3. How would the dimensions change if the scale factor were \(\frac{1}{2}\)?
4. Can a scale factor be greater than 1? What would that represent?
5. How can we check if a scale drawing maintains the same proportions as the original?

**Tip:** Always reduce fractions to their simplest form when calculating scale factors to avoid errors.

The table below gives the dimensions of a statue and a scale drawing of the statue. Find the scale factor of the drawing. (The scale factor to get the drawing from the statue.) Write your answer as a fraction in simplest form.

Learn how to find the scale factor of a drawing based on the dimensions of a statue and the drawing. This problem covers key concepts such as ratios and proportions, using a fraction in simplest form. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation