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Solve for the Surface Area of the triangular pyramid. The base is an equilateral triangle.Surface Area =

Solve for the Surface Area of the triangular pyramid. The base is an equilateral triangle-example-1
User Tena
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1 Answer

4 votes

Answer:

44 square mm

Step-by-step explanation:

The surface area of the triangular pyramid is the sum of the surface areas of the 4 triangles.

Since the base is an equilateral triangle, the surface area:


S.A.=\text{Area of Base Triangle+3(Area of One side)}

Base Area


A=(1)/(2)bh=(1)/(2)*4*1=2\operatorname{mm}^2

Area of one side


A=(1)/(2)bh=(1)/(2)*4*7=14\operatorname{mm}^2

Thus, the surface area is:


\begin{gathered} S\mathrm{}A\mathrm{}=2+3(14) \\ =2+42 \\ =44\operatorname{mm}^2 \end{gathered}

The surface area is 44 square mm.

User Fazo
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