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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 two triangles and three rectangles. Find the sum of the area of one triangle and three times 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.

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 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 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.
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1 answer

To calculate the surface area of a triangular prism, we should consider the faces of the prism, which consist of two triangular bases and three rectangular lateral faces.

The correct method involves:

  • 2 triangular bases (each contributing an area calculated from the triangle's area)
  • 3 rectangular lateral faces (each has an area based on the corresponding side of the triangle and the height of the prism)

The valid method among your options is:

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

This option accurately identifies the correct number of triangular and rectangular faces and includes the requirement to sum the areas of all the shapes to find the total surface area of the triangular prism.