52.5k views
2 votes
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
by
7.8k points

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
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.