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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 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 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 the area of all five shapes.

1 answer

To calculate the surface area of a triangular prism, you need to consider the triangular bases and the rectangular lateral faces.

A triangular prism consists of:

  • 2 triangular bases.
  • 3 rectangular lateral faces.

The correct method to calculate the surface area would be to decompose the prism into its components and sum their areas.

The valid statement from the options you provided is:

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

This accurately reflects the shapes involved (2 triangles and 3 rectangles) and indicates that you should sum their areas to find the total surface area of the prism.