Answer : The surface area of triangular prism is 1080 in².
Step-by-step explanation :
Formula used to calculate the surface area of triangular prism is:
Surface area of triangular prism = (2 × Area of triangle) + Area of all rectangle
Area of triangle = [tex]\frac{1}{2}\times base\times height[/tex]
Area of rectangle = length × breadth
In the given triangular prism, there are 2 triangles and 3 different rectangles.
Surface area of triangular prism = [tex](2\times \frac{1}{2}\times base\times height)[/tex] + Area of rectangle ABCF + Area of rectangle ABDE + Area of rectangle CDEF
Surface area of triangular prism = [tex](2\times \frac{1}{2}\times 10\times 24)+(24\times 14)+(26\times 14)+(14\times 10)[/tex]
Surface area of triangular prism = 1080 in²
Therefore, the surface area of triangular prism is 1080 in².
