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 triangular faces:
- First, we need to find the area of the triangle. The base = 8 cm, and the height = 5 cm.
Area = 0.5 * base * height = 0.5 * 8 * 5 = 20 square cm
There are two triangular faces, so the total area for both is 2 * 20 = 40 square cm
2. The rectangular faces:
- The length = 8 cm, the height = 5 cm, and the width = 10 cm for both rectangular faces
Area = 2 * (length * height) + 2 * (length * width) = 2 * (8 * 5) + 2 * (8 * 10) = 80 + 160 = 240 square cm
Adding the areas of all faces together, we get:
40 (triangular faces) + 240 (rectangular faces) = 280 square cm
Therefore, the surface area of the triangular prism is 280 square centimeters.
Therefore, the correct answer is- 280 square centimeters
Use the image to answer the question.
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
180 square centimeters
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1 answer