https://file.aiquickdraw.com/mathbot/file/1725751524642m2v0fw1u.jpg

Let's break down the problem visible in the image and solve it step by step.

The problem describes Robert trying to fit a digital piano in his living room using a scale drawing. The key details are:

- **Scale used**: 1 cm in the drawing represents 6 inches in the real world.
- **Width of the digital piano in reality**: 54 inches.
- We need to determine whether it will fit along a space near the bookshelf, which isn't directly provided here, but let's assume the question requires converting the piano's real-world width (54 inches) into the corresponding width on the scale drawing.

### Step 1: Setting up the proportion
The relationship between the real-world measurement and the scale drawing is given as:

\[
\frac{1 \text{ cm in drawing}}{6 \text{ inches in real life}} = \frac{X \text{ cm in drawing}}{54 \text{ inches in real life}}
\]

Here, \( X \) represents the width of the piano on the scale drawing.

### Step 2: Solving the proportion
To solve for \( X \), we cross-multiply:

\[
1 \times 54 = 6 \times X
\]

\[
X = \frac{54}{6} = 9 \text{ cm}
\]

### Step 3: Conclusion
The width of the piano in the scale drawing is 9 cm. You would then compare this to the space available in the drawing (which isn't fully shown here) to decide if it fits.

Would you like more details on this process, or do you have any specific questions about the problem?

Here are five related questions you could explore next:
1. How do we convert other real-life dimensions to scale if the ratio changes?
2. What would the real-life measurement be for an object that is 5 cm in the drawing?
3. How do we account for different scales (e.g., metric vs imperial)?
4. How can we use proportions in real-world situations beyond scale drawings?
5. What if the piano’s width was 60 inches instead—how would that change the result?

**Tip:** When working with scale drawings, always ensure you keep the units consistent, converting between inches and centimeters when necessary.

Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1 cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches. Will it fit along the wall next to the bookshelf? Explain your answer.

Learn how to determine whether a 54-inch piano will fit in a living room by using a scale drawing with a 1 cm to 6 inches ratio. This step-by-step guide covers how to set up proportions, solve them, and convert real-world measurements to scale. Perfect for middle school students exploring proportions and scaling.

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