Surface Area of Triangular Prisms Quick Check

Question

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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

320 square centimeters
320 square centimeters

260 square centimeters
260 square centimeters

280 square centimeters
280 square centimeters

180 square centimeters

Answer 1

To find the surface area of the triangular prism, you need to calculate the areas of each face and then add them up.

First, calculate the area of the triangular face:
Area = 1/2 * base * height
Area = 1/2 * 10 cm * 8 cm
Area = 40 square centimeters

Next, calculate the area of the rectangular face:
Area = width * height
Area = 6 cm * 8 cm
Area = 48 square centimeters

Now, calculate the areas of the two rectangular faces:
2 * 6 cm * 10 cm = 120 square centimeters

Add up all the areas:
40 + 48 + 120 = 208 square centimeters

Therefore, the correct answer is not provided in the options given. The surface area of the triangular prism is 208 square centimeters.