To find the surface area of a triangular prism, we need to calculate the area of each face and then add them together.
The triangular faces of the prism should be calculated as follows:
Area of a triangle = 1/2 * base * height
The rectangular faces of the prism should be calculated as follows:
Area of a rectangle = length * width
Given the dimensions:
Base of the triangle = 10 cm
Height of the triangle = 8 cm
Base of the rectangle = 10 cm
Height of the rectangle = 6 cm
Length of the prism = 10 cm
Calculate the areas for each face:
1. Area of the two triangular faces = 2 * 1/2 * 10 cm * 8 cm = 80 cm^2
2. Area of the three rectangular faces = 3 * 10 cm * 6 cm = 180 cm^2
Add the areas of all faces together to find the surface area of the prism:
Surface area = 80 cm^2 (triangular faces) + 180 cm^2 (rectangular faces) = 260 cm^2
Therefore, the surface area of the triangular prism is 260 cm^2.
10cm 10cm 8cm10cm 6cm solve for the surface of the triangle prism
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