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Let's break down the problem:

- Robert makes a scale drawing of his living room.
- The scale is 1 cm in the drawing equals 6 inches in the actual room.
- The width of the digital piano is 54 inches.
- We need to determine if the digital piano will fit along the wall next to the bookshelf, based on the scale.

### Step-by-step approach:

1. **Convert the width of the digital piano to the scale drawing**:
   - The scale is 1 cm = 6 inches. 
   - The digital piano is 54 inches wide.
   
   To find out how wide the piano would be in the drawing:
   \[
   \text{Width in drawing} = \frac{\text{Actual width (in inches)}}{6}
   \]
   \[
   \text{Width in drawing} = \frac{54}{6} = 9 \, \text{cm}
   \]

2. **Check if the wall space in the drawing is at least 9 cm long**:
   - This depends on the dimensions of the wall next to the bookshelf in the scale drawing, which isn’t provided in the problem.

However, if the wall in the drawing is at least 9 cm long, the piano will fit. If it's less than 9 cm, the piano won't fit.

Would you like more details on how to handle this problem or have any questions?

### Related questions:
1. How do you calculate the area of the living room using a scale drawing?
2. If the piano had a different width, say 72 inches, how would you calculate its size in the drawing?
3. How do you convert from other units of length, such as feet, using a scale drawing?
4. What happens if Robert changes the scale to 1 cm = 12 inches? How would that affect the drawing?
5. How could you check the total available wall space in the room to compare with multiple furniture pieces?

### Tip:
When working with scale drawings, always check both the actual dimensions and the scaled dimensions to ensure accuracy.

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 solve a scale drawing problem where Robert measures his living room to determine if a 54-inch-wide digital piano will fit along the wall. This exercise involves unit conversions and proportional reasoning, perfect for students in grades 6-8.

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