The volume of a particular die is 8000 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.Do not type the units in the space below.
Question
The volume of a particular die is 8000 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.Do not type the units in the space below.
Solution
First, we need to understand that volume is a three-dimensional measurement. This means that when converting from mm3 to cm3, we need to account for the conversion in each of the three dimensions.
Given that 10 mm equals 1 cm, we can say that 1 mm equals 0.1 cm.
So, to convert 8000 mm3 to cm3, we need to multiply 8000 by (0.1)^3, because we are converting each of the three dimensions from mm to cm.
(0.1)^3 equals 0.001.
So, 8000 mm3 equals 8000 * 0.001 cm3, which equals 8 cm3.
Therefore, the volume of the die is 8 cm3 when converted from mm3.
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