To find the surface area of the triangular prism, we need to find the areas of each face and then add them all together.
1. Area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 5 cm * 11 cm
Area = 27.5 square cm
2. Area of the back triangular face (which is the same as the front triangular face):
27.5 square cm
3. Area of the right rectangular face:
Area = length * width
Area = 11 cm * 5 cm
Area = 55 square cm
4. Area of the left rectangular face (which is the same as the right rectangular face):
55 square cm
5. Area of the top face:
Area = 5 cm * 4 cm (using the legs of the front triangular face)
Area = 20 square cm
6. Area of the bottom face:
20 square cm
Now, add all the areas together:
27.5 + 27.5 + 55 + 55 + 20 + 20 = 205 square cm
Therefore, the surface area of the triangular prism is 205 square centimeters.
Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
What is the surface area of the triangular prism?
(1 point)
___square centimeters
1 answer
1 answer