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 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.
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 all five shape

1 answer

To calculate the surface area of a triangular prism, we should first identify the components that contribute to the overall surface area.

A triangular prism consists of:

  • 2 triangular bases
  • 3 rectangular lateral faces

The valid method for calculating the surface area is to decompose the triangular prism into its component shapes and then sum the areas of those shapes.

In this context, the correct response would be:

Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of both triangular bases (2 triangles) and the area of the three rectangles.

From the choices you provided, it seems none are perfectly phrased, but the closest and correct method would involve taking the areas of the two triangles and the three rectangles directly.

Make sure to find the area of each of the triangular bases and the total area of the three rectangles (which are the lateral faces of the prism) for the final answer.

Please check your responses again for exact wording if there's a specific answer format you need!