You need a shelf for a small space in your house, so you make a measurement with your tape measure and head to the store. Once there, you find that the length of the shelves you want is given in cm. If your space measured 4 ft 8 in, and the shelves at the store measure 120 cm, answer the following questions. 


Write final answer to 1 decimal place

We need to convert the measurement of your space from feet and inches to centimeters and then compare it with the shelf size.

### Step 1: Convert 4 feet 8 inches to centimeters
- 1 foot = 12 inches, so 4 feet = \( 4 \times 12 = 48 \) inches.
- Therefore, 4 feet 8 inches = \( 48 + 8 = 56 \) inches.

Now, we convert inches to centimeters:
- 1 inch = 2.54 cm, so \( 56 \, \text{inches} \times 2.54 \, \text{cm/inch} = 142.24 \, \text{cm} \).

Thus, your space measures 142.24 cm.

### Step 2: Compare with the shelf length
- The shelf length is 120 cm.
- Your space is 142.2 cm.

### Final Answer:
- The space is **142.2 cm**, and the shelf is **120 cm**, so the shelf will fit with 22.2 cm of extra space.

Do you have any questions or need further details?

Here are 5 related questions to consider:
1. What is the best way to ensure the shelf is centered in the space?
2. How do you convert centimeters back to inches or feet?
3. If the shelf was too long, how could it be adjusted to fit?
4. How would you calculate the total area available for a shelf?
5. What are some common shelf sizes in centimeters?

**Tip:** Always double-check measurements to ensure that the shelf fits well in both width and depth!

You need a shelf for a small space in your house, so you make a measurement with your tape measure and head to the store. Once there, you find that the length of the shelves you want is given in cm. If your space measured 4 ft 8 in, and the shelves at the store measure 120 cm, answer the following questions.

Learn how to convert 4 ft 8 in to centimeters and determine if a 120 cm shelf will fit in your space. This problem covers unit conversion from feet and inches to centimeters and helps compare shelf lengths. Suitable for Grades 6-8.

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