Question
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 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 all five shapes.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
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 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 all five shapes.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
Answers
GPT-4o mini
To calculate the surface area of a triangular prism, you should decompose it into its components correctly. A triangular prism consists of:
- 2 triangular bases
- 3 rectangular lateral faces
From the options you've provided, we want to accurately represent this in the decomposition process.
The correct method should:
- Decompose the prism into **two** triangles (the bases) and **three** rectangles (the lateral faces).
- Calculate the area of the two triangles and the three rectangles and then sum them together.
The correct option 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 surface area calculation process.
- 2 triangular bases
- 3 rectangular lateral faces
From the options you've provided, we want to accurately represent this in the decomposition process.
The correct method should:
- Decompose the prism into **two** triangles (the bases) and **three** rectangles (the lateral faces).
- Calculate the area of the two triangles and the three rectangles and then sum them together.
The correct option 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 surface area calculation process.