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To find the surface area of a three-dimensional figure, you must find the area of each of its faces and then multiply the areas.A.TrueB.False

Question

To find the surface area of a three-dimensional figure, you must find the area of each of its faces and then multiply the areas.

A.True
B.False

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Solution

Breakdown the Problem

  1. Identify the statement: Finding the surface area of a three-dimensional figure.
  2. Determine the method to find surface area.

Relevant Concepts

  1. Surface area of a three-dimensional figure is obtained by calculating the area of all its outer faces and summing them up.
  2. The statement suggests multiplying the areas, which is not correct.

Analysis and Detail

  1. Surface area of any three-dimensional figure (like a cube, sphere, or cylinder) is determined by calculating the area of each face and adding them together.
  2. The term "multiply the areas" is misleading, as we do not multiply the areas of the faces but rather sum them.

Verify and Summarize

  1. The correct method for finding surface area is to add up the areas of each face.
  2. The statement given in the question is false.

Final Answer

The correct answer is B. False. The surface area is calculated by adding the areas of all the faces, not multiplying them.

This problem has been solved

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