Surface Area of Triangular Prisms Quick Check
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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
180 square centimeters
180 square centimeters
280 square centimeters
280 square centimeters
Solution:
To find the surface area of the triangular prism, we need to find the areas of all the faces and then add them up.
- The front triangular face has a base of 10 cm and a height of 8 cm, so the area is (1/2)*10*8 = 40 square cm.
- The back triangular face is the same size as the front face, so its area is also 40 square cm.
- The two rectangular faces each have an area of 10*6 = 60 square cm.
Adding up all the areas, the total surface area of the triangular prism is 40 + 40 + 60 + 60 = 200 square cm.