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Which of the following units could be used to report area?Multiple select question.Lmm3mm3cm3cm3mgmmm2m2μgcm2

Question

Which of the following units could be used to report area?

  • L
  • mm
  • cm
  • mg
  • μg
  • cm²
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Solution

1. Break Down the Problem

To determine which of the provided units can be used to report area, we need to identify units that are specifically designed to measure two-dimensional space. Area is calculated as length multiplied by width, which means it has squared dimensions.

2. Relevant Concepts

Area measurement units must have the unit of length squared. Some basic metric units of area include:

  • m2 m^2 (square meters)
  • cm2 cm^2 (square centimeters)
  • mm2 mm^2 (square millimeters)
  • μm2 μm^2 (square micrometers)

3. Analysis and Detail

Let's analyze the given options:

  1. Lmm3 \text{Lmm}^3 - This unit looks like a confusion between length (L) and volume (cubic millimeters). Not applicable for area.
  2. mm3 \text{mm}^3 - Cubic millimeters are a unit of volume, not area. Not applicable.
  3. cm3 \text{cm}^3 - Cubic centimeters also denote volume. Not applicable.
  4. mg \text{mg} - Milligrams are a measure of mass, not applicable for area.
  5. m \text{m} - Meters are a measure of length, not area. Not applicable.
  6. m2 \text{m}^2 - Square meters are a correct unit of area. Applicable.
  7. μg \text{μg} - Micrograms are a measure of mass, not applicable for area.
  8. cm2 \text{cm}^2 - Square centimeters are a correct unit of area. Applicable.

4. Verify and Summarize

After analyzing each option, the units that correctly represent area are m2 m^2 (square meters) and cm2 cm^2 (square centimeters). The others do not measure area, as they relate to volume or mass.

Final Answer

The units that could be used to report area are:

  • m2 m^2 (square meters)
  • cm2 cm^2 (square centimeters)

This problem has been solved

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