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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 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.

1 answer

To calculate the surface area of a triangular prism, we can follow a valid decomposition method.

A triangular prism has two triangular bases and three rectangular lateral faces. The correct approach would involve:

  1. Identifying the two triangular bases.
  2. Identifying the three rectangular sides.

Given these details, the right method would be to:

  • Decompose the triangular prism into two triangles (the bases) and three rectangles (the lateral faces).
  • Calculate the area of the two triangles and the area of the three rectangles.
  • Find the total surface area by summing the areas of all shapes.

From the options you have provided, the correct response is:

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

This accurately describes the valid method for calculating the surface area of a triangular prism.