Use the image to answer the question. What is the surface area of the triangular prism whose net is shown? (1 point)

Question

A 6 cm^2
B 2.48 cm^2
C 8 cm^2
D 14 cm^2

Answer 1

D 14 cm^2

To calculate the surface area, we need to find the area of each face and add them up.

Base triangles:
Area = 1/2 * base * height
Area = 1/2 * 2cm * 2cm
Area = 2 cm^2

Front rectangle:
Area = length * width
Area = 2cm * 2cm
Area = 4 cm^2

Top rectangle:
Area = length * width
Area = 2cm * 2cm
Area = 4 cm^2

Total surface area = 2(2cm^2) + 4cm^2 + 4cm^2
Total surface area = 4cm^2 + 4cm^2 + 4cm^2
Total surface area = 12cm^2

Therefore, the surface area of the triangular prism is 12cm^2. This is closest to option D, 14cm^2.