Determine the surface area of the triangular prism. (1 point) Responses 110 square centimeters 110 square centimeters 132 square centimeters 132 square centimeters 144 square centimeters 144 square centimeters 330 square centimeters
To determine the surface area of a triangular prism, you need to find the area of each face and add them together.
First, find the area of the two triangular faces:
Area of a triangle = 0.5 * base * height
Area of the two triangular faces = 2 * (0.5 * 6 cm * 4 cm) = 2 * (3 cm * 4 cm) = 24 square cm
Next, find the area of the three rectangular faces:
Area of a rectangle = length * width
Area of the three rectangular faces = 3 * (6 cm * 4 cm) = 3 * 24 square cm = 72 square cm
Now, add the areas of all the faces together:
Total surface area = 24 square cm + 72 square cm = 96 square cm
Therefore, the surface area of the triangular prism is 96 square centimeters. None of the options provided in the question are correct.