Question

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Math question below

Answer 1

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 =
`(1)/(2)* base* height`

Area of rectangle = length × breadth

In the given triangular prism, there are 2 triangles and 3 different rectangles.

Surface area of triangular prism =
`(2* (1)/(2)* base* height)` + Area of rectangle ABCF + Area of rectangle ABDE + Area of rectangle CDEF

Surface area of triangular prism =
`(2* (1)/(2)* 10* 24)+(24* 14)+(26* 14)+(14* 10)`

Surface area of triangular prism = 1080 in²

Therefore, the surface area of triangular prism is 1080 in².