Question

The volume of a particular die is 13100 mm3. Use the fact that 10 mm equals 1 cm to convert this volume to cm3. Round your answer to the nearest tenth. Be sure not to round until you have completed the calculations.

Answer 1

Volume in cm³ rounded to the nearest tenth = 131 cm³ (rounded to the nearest tenth).

Explanation:

To convert the volume of the die from mm³ to cm³, we need to use the conversion factor that 10 mm equals 1 cm. Here's how you can calculate the volume in cm³:

1. Start with the given volume of the die: 13100 mm³.

2. To convert mm³ to cm³, we need to divide the volume by the conversion factor squared (since it is a three-dimensional measurement). The conversion factor squared is (10 mm / 1 cm)² = (10/1)² = 100.

3. Divide the volume by 100 to convert it to cm³:

Volume in cm³ = 13100 mm³ / 100 = 131 cm³.

So, the volume of the die is 131 cm³.