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Which of the following describes a valid method for calculating the surface area of a triangular prism?(1 point) Responses Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes. Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes. Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes. Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes. Decompose the triangular prism into three triangles and two rectangles. Find the sum of three times the area of one triangle and twice the area of one rectangle. Decompose the triangular prism into three triangles and two rectangles. Find the sum of three times the area of one triangle and twice the area of one rectangle. Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of one triangle and three times the area of one rectangle.

1 answer

To calculate the surface area of a triangular prism, you can indeed decompose it into its fundamental shapes. A triangular prism consists of two triangular bases and three rectangular faces.

The valid method for calculating the surface area would be:

  1. Decompose the triangular prism into two triangles and three rectangles.
  2. Find the sum of the area of the two triangles and the three rectangles.

Therefore, the correct approach involves recognizing that the prism has two triangular faces (the bases) and three rectangular lateral faces.

The responses provided seem to have repetition and errors. However, the method of decomposing the prism into two triangles and three rectangles, and then summing their areas, is the foundation of the calculation.

To summarize, the valid response among those listed is:

  • Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.

This is the correct breakdown to find the surface area of a triangular prism.