A triangular prism has a base of 9 and height of 7. The length of each side of the triangular prism is 9 and the width of the entire prism is 7. What is the surface area?

Respuesta :

Answer:

Therefore,

The surface area is

[tex]\textrm{Total Surface Area of Prism}=252\ units^{2}[/tex]

Step-by-step 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,

[tex]\textrm{Total Surface Area of Prism}=bh + (s_{1}+s_{2}+s_{3})W[/tex]

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

[tex]\textrm{Total Surface Area of Prism}=9\times 7 + (9 + 9 + 9)\times 7=252\ units^{2}[/tex]

Therefore,

The surface area is

[tex]\textrm{Total Surface Area of Prism}=252\ units^{2}[/tex]

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