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 330 square centimeters
length 11cm width 4cm height 3cm vertical height 5cm
To find the surface area of a triangular prism, we need to calculate the area of each face and add them up.
1. Calculate the area of the two triangular faces:
Area = 0.5 * base * height
Area = 0.5 * 11 * 3 = 16.5 square cm
Area = 0.5 * 4 * 3 = 6 square cm
2. Calculate the area of the three rectangular faces:
Area = length * height
Area = 11 * 4 = 44 square cm
Area = 4 * 5 = 20 square cm
Area = 5 * 11 = 55 square cm
3. Add up the areas of all the faces:
16.5 + 6 + 44 + 20 + 55 = 141.5 square cm
Therefore, the surface area of the triangular prism is 141.5 square centimeters.
None of the given options match the calculated surface area, so there may have been a mistake in the calculations.