Answer:
Therefore,
The surface area is
![\textrm{Total Surface Area of Prism}=252\ units^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ph479gxkbyguqbxgjo73x1lr5lz4y4jh59.png)
Explanation:
Shape is triangular prism,
Base = b = 9
Height = h = 7
The length of each side of the triangular prism ,
s₁ = s₂ = s₃ = 9
Width of the entire prism
Width = W = 7
To Find:
The surface area = ?
Solution:
Total Surface Area of Prism is given by,
![\textrm{Total Surface Area of Prism}=bh + (s_(1)+s_(2)+s_(3))W](https://img.qammunity.org/2021/formulas/mathematics/high-school/ijx72waqcw73jiokctk5mz23p5rziylsis.png)
Where,
b = Base
h = Height
s₁ , s₂ , and s₃ = length of each side of the triangular prism
W = width of the prism
Substituting the values we get
![\textrm{Total Surface Area of Prism}=9* 7 + (9 + 9 + 9)* 7=252\ units^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ok0hmtvh1faibgq9kdsuggzo5ic0c6a4vc.png)
Therefore,
The surface area is
![\textrm{Total Surface Area of Prism}=252\ units^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ph479gxkbyguqbxgjo73x1lr5lz4y4jh59.png)