A metalworker is creating decorative points in the form of triangular pyramids to go on top of a fence she is building. She wants to know the surface area of each pyramid. Use the surface area formula to find the surface area of each pyramid based on the figure.
(1 point)
cm2
what's the answer
To find the surface area of a triangular pyramid, you need to calculate the area of each face and then sum them.
Each triangular face of the pyramid is an equilateral triangle.
The surface area formula for an equilateral triangle is:
A = (sqrt(3) / 4) * a^2
Where A is the area and a is the length of one side of the triangle.
Since the pyramid has 4 triangular faces, you need to calculate the area of each triangle and then multiply by 4 to get the total surface area of the pyramid.
So the surface area formula for the pyramid would be:
SA = 4 * [(sqrt(3) / 4) * a^2] = sqrt(3) * a^2
Where SA is the surface area and a is the length of one side of the base triangle.