10 8 6 10
Solve of the surface area of the triangular prism
260 cm
180 cm
320 cm
280 cm
To find the surface area of a triangular prism, we need to calculate the areas of each of the three faces (two triangular faces and three rectangular faces) and then add them up.
Given dimensions:
Base of the triangle = 10 cm
Height of the triangle = 8 cm
Length of the prism = 6 cm
1. Area of one triangular face = 1/2 * base * height
= 1/2 * 10 cm * 8 cm
= 40 cm^2
As there are two triangular faces, the total area of the two triangular faces = 2 * 40 cm^2 = 80 cm^2
2. Area of one rectangular face = base * height
= 10 cm * 6 cm
= 60 cm^2
As there are three rectangular faces, the total area of the three rectangular faces = 3 * 60 cm^2 = 180 cm^2
Adding the areas of the two triangular faces and three rectangular faces together:
Total surface area = 80 cm^2 + 180 cm^2
= 260 cm^2
Therefore, the correct answer is 260 cm.