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Chapter 9: Problem 92

Is the volume of a coin approximately 1 cubic centimeter, 1 cubic millimeter, or 1 cubic decimeter? Explain your answer.

Short Answer

Expert verified
The volume of a coin is approximately 1 cubic centimeter.

Step by step solution

01

Understanding Units

First, it's important to understand the units of volume in the metric system. A cubic centimeter (cc) is a cube that is 1 centimeter on all sides, a cubic millimeter (mm鲁) is a cube that is 1 millimeter on all sides and a cubic decimeter (dm鲁) is a cube that is 1 decimeter on all sides.
02

Comparing Units

Next, we compare the volumes of the units with the volume of a typical coin. A cubic decimeter is quite large (1 liter in volume), a cubic millimeter is very small. A cubic centimeter falls in between.
03

Final Analysis

Considering the size of a typical coin (for example, a 1 Euro coin has a diameter of about 2.33 cm and thickness of about 0.23 cm, so the volume is roughly between 1 cubic centimeter and 2 cubic centimeters), it's clear that 1 cubic decimeter is much too large, 1 cubic millimeter is too small. So, the coin is approximately 1 cubic centimeter in volume.

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