The table shows conversions of common units of length.

Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers

About how many inches are equivalent to 3 meters? Round the number(s) needed in the table to the nearest tenth to find the approximate answer.
10 inches
75 inches
100 inches
120 inches

1 answer

To find out how many inches are equivalent to 3 meters, we can follow these steps using the conversion factors provided in the table:

  1. We know that 1 meter is approximately equal to \( \frac{100}{2.54} \) inches (since 1 inch is 2.54 centimeters, and there are 100 centimeters in a meter).

  2. Calculate \( \frac{100}{2.54} \):

    \[ \frac{100}{2.54} \approx 39.37 \text{ inches} \]

  3. Since we want the conversion for 3 meters, multiply this result by 3:

    \[ 3 \times 39.37 \approx 118.11 \text{ inches} \]

  4. Rounding to the nearest tenth gives us approximately 118.1 inches.

The closest option provided is 120 inches.

Therefore, about 120 inches are equivalent to 3 meters.