Given:
The height of the triangular face is 6 inches.
The triangle are equilateral and the sides of the triangle are 4 inches.
The height of the prism is 10 inches.
We need to determine the surface area of the triangular prism.
Surface area:
The surface area of the triangular prism can be determined using the formula,
[tex]S A=b h+(s 1+s 2+s 3) H[/tex]
Substituting [tex]b=4[/tex], [tex]h=6[/tex], [tex]s 1+s 2+s 3=4+4+4=12[/tex] and [tex]H=10[/tex]
Thus, we get;
[tex]SA=(4)(6)+(12)(10)[/tex]
[tex]SA=24+120[/tex]
[tex]SA=144 \ in^2[/tex]
Thus, the surface area of the triangular prism is 144 in²
Hence, Option A is the correct answer.
