The lateral surface area of the provided triangular prism is 96 square inches. Option C is the correct option.
Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.
The lateral surface area of the triangular prism can be calculated with the following formula.
[tex]A_{LS}=h(a+b+c)[/tex]
Here, (a,b,c) are the bases of the rectangular faces and (h) is the common height.
The image of the triangular prism is attached below. In the given triangular prism, the common height is 8 in and bases of the rectangular faces are 5 in, 4 in and 3 in long.
To find the lateral surface area of the given triangular prism, put the values in the above formula.
[tex]A_{LS}=8(5+4+3)\\A_{LS}=8(12)\\A_{LS}=96\rm\; in^2[/tex]
Thus, the lateral surface area of the provided triangular prism is 96 square inches. Option C is the correct option.
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