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
280 square centimeters
280 square centimeters
260 square centimeters
260 square centimeters
320 square centimeters
320 square centimeters
To find the surface area of the triangular prism, we need to calculate the areas of all the individual faces and then add them together.
1. The area of the triangular base:
Area = (1/2) * base * height
Area = (1/2) * 10 cm * 8 cm
Area = 40 square cm
2. The area of the rectangular face:
Area = length * width
Area = 10 cm * 6 cm
Area = 60 square cm
3. The area of the other rectangular face:
This will be the same as the area of the first rectangular face.
Area = 60 square cm
Now add up all the areas:
40 square cm (triangle) + 60 square cm (rectangular face 1) + 60 square cm (rectangular face 2)
= 160 square cm
Therefore, the surface area of the triangular prism is 160 square centimeters.