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
260 square centimeters
260 square centimeters
280 square centimeters
280 square centimeters
180 square centimeters
180 square centimeters
320 square centimeters
320 square centimeters
Skip to navigation
To find the surface area of the triangular prism, we need to calculate the areas of all the faces and then add them together.
Front triangular face:
Area = 1/2 * base * height
Area = 1/2 * 10 * 8 = 40 square centimeters
Back triangular face (which is the same size as the front face):
Area = 40 square centimeters
Left rectangular face:
Area = length * width
Area = 10 * 6 = 60 square centimeters
Right rectangular face (which is the same size as the left face):
Area = 60 square centimeters
Top rectangular face:
Area = 10 * 6 = 60 square centimeters
Bottom rectangular face (which is the same size as the top face):
Area = 60 square centimeters
Now, add all the areas together:
40 + 40 + 60 + 60 + 60 + 60 = 320
The surface area of the triangular prism is 320 square centimeters.