To find the surface area of the triangular prism, we need to calculate the area of each of the prism's faces and then add them up.
1. The triangular faces:
The triangular faces are right triangles with base and height dimensions of 6 cm and 10 cm, respectively. To find the area of one triangular face, use the formula for the area of a triangle: (1/2) * base * height.
Area of one triangular face = (1/2) * 6 cm * 10 cm = 30 cm²
Since there are two triangular faces, the total area for both is 30 cm² * 2 = 60 cm²
2. The rectangular faces:
The rectangular faces have dimensions of 10 cm by 8 cm and 10 cm by 6 cm. To find the area of one rectangular face, use the formula for the area of a rectangle: length * width.
Area of one rectangular face = 10 cm * 8 cm = 80 cm² + 10 cm * 6 cm = 60 cm² = 140 cm²
Since there are two rectangular faces, the total area for both is 140 cm² * 2 = 280 cm²
3. To find the total surface area of the triangular prism, simply add the areas of the triangular and rectangular faces:
Total surface area = 60 cm² + 280 cm² = 340 cm²
Therefore, the surface area of the triangular prism is 340 cm².
Use the image to answer the question the image is 6 cm x 10 cm x 10 cm- outside
Inside is 10 cm and 8 cm
Solve the surface area of the triangular, prism
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