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 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 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 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.
this picture is a triangular prism and the measurements of all the sides are 10cm 10cm 10cm 8cm and 6cm what is the surface area?
To calculate the surface area of a triangular prism, you need to find the areas of each of the five faces and then sum them up.
1. The two triangular faces:
Area of a triangle = (1/2) * base * height
Area of each triangular face = (1/2) * 10cm * 8cm = 40cm²
Total area for both triangular faces = 2 * 40cm² = 80cm²
2. The three rectangular faces:
Area of a rectangle = length * width
Area of the rectangular face with sides 10cm and 10cm = 10cm * 10cm = 100cm²
Area of the rectangular face with sides 10cm and 6cm = 10cm * 6cm = 60cm²
Area of the rectangular face with sides 8cm and 6cm = 8cm * 6cm = 48cm²
Total area for all three rectangular faces = 100cm² + 60cm² + 48cm² = 208cm²
3. Sum up the areas of all faces:
Total surface area = 80cm² + 208cm² = 288 cm²
Therefore, the surface area of the triangular prism is 288 cm².