The fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in²
Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.
Surface area of  triangular prism with isosceles triangle base is find out using the following formula,
[tex]A_s=[(2a+b)\times l]+2\times A_b[/tex]
Gavin is making a scale replica of a tent for his social studies project.
The replica is in the shape of a triangular prism. It has an isosceles triangle base with side lengths 6 inches, 5 inches, and 5 inches.
The base area of the prism is,
[tex]A=\dfrac{1}{2}\sqrt{5^2-\dfrac{6^2}{4}}{\times6}\\A=12\rm\; in^2[/tex]
The height of the triangle is 4 inches, and the depth of the tent is 7 inches.
Put the values in the above formula as,
[tex]A_s=[(2\times5+6)\times 7]+2\times12\\A_s=136\rm \; in^2[/tex]
Thus, the fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in².
Learn more about the surface area here:
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