Determine the surface area of the triangular prism.

side height 3
base 4cm
front 11 cm
and an arrow pointing down its 5cm

(1 point)
Responses

110 square centimeters
110 square centimeters

132 square centimeters
132 square centimeters

144 square centimeters
144 square centimeters

330 square centimeters

1 answer

To find the surface area of a triangular prism, we need to calculate the areas of the two triangular faces and the three rectangular faces.

1. Calculate the area of the two triangle faces:
Area = (1/2) * base * height
Area = (1/2) * 4 * 3 = 6 square cm

2. Calculate the area of the three rectangle faces:
a. Front face: 11 cm * 3 cm = 33 square cm
b. Arrow face: 11 cm * 5 cm = 55 square cm
c. Side face: 4 cm * 5 cm = 20 square cm

3. Add all the areas together:
6 + 33 + 55 + 20 + 20 = 134 square cm

Therefore, the surface area of the triangular prism is 134 square centimeters.