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QuestionMathematics

The formula for finding the volume of a square pyramid is shown below, where a is the side length of the square base and h is the height of the pyramid. When finding the volume of a square pyramid, which unit of measure would be appropriate for the side length of the base? A. ounces B. cubic millimeters C. square inches D. centimeters
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand the Volume Formula

- $$h$$ is the height of the pyramid
The volume of a square pyramid is given by the formula: Where:

Step 3:
: Analyze the Units

- $$h$$ to also be a linear measurement (height)
The formula requires:

Step 4:
: Evaluate the Options

A. Ounces - Not a linear measurement B. Cubic millimeters - Volume unit, not length C. Square inches - Area unit, not length D. Centimeters - A linear measurement unit

Step 5:
: Reasoning

For the side length of the base, we need a unit of linear measurement that represents length.

Final Answer

Centimeters Explanation: Centimeters are a standard unit of linear measurement, appropriate for representing the side length of a square pyramid's base. The other options are either volume, area, or non-linear units.