Surface Area of Triangular Prisms Quick Check

Question

3 of 53 of 5 Items
Question
Use the image to answer the question.

An illustration shows a triangular prism. The front triangular face is visible. The left rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. All sides of the triangle measure 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 8 centimeters. The width of the rectangular face measures 6 centimeters.



Solve for the surface area of the triangular prism.

(1 point)
Responses

180 square centimeters
180 square centimeters

320 square centimeters
320 square centimeters

280 square centimeters
280 square centimeters

260 square centimeters

Answer 1

To find the surface area of the triangular prism, we need to calculate the area of each face and then add them together.

1. The area of the front triangular face can be calculated using the formula: 1/2 * base * height.
Area = 1/2 * 10 cm * 8 cm = 40 square cm

2. There are two triangular faces, so the total area from both triangular faces is 40 square cm * 2 = 80 square cm.

3. The area of the rectangular face can be found by multiplying the length and width.
Area = 10 cm * 6 cm = 60 square cm

4. There are two rectangular faces, so the total area from both rectangular faces is 60 square cm * 2 = 120 square cm.

5. Finally, add the areas of the three faces together: 80 square cm (triangular faces) + 120 square cm (rectangular faces) = 200 square cm.

Therefore, the surface area of the triangular prism is 200 square centimeters.

None of the provided options matches the correct answer.