Question

question
the figure below is a net for a triangular
pyramid.
if all the triangles are equilateral,
what is the surface area of the
pyramid, in square meters?

Explanation:

Step1: Calculate the area of one equilateral triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). For an equilateral triangle with side length \(s = 6m\) and height \(h=5.2m\), the area of one triangle is \(A_1=\frac{1}{2}\times6\times5.2\).

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Step2: Calculate the total surface area

A triangular pyramid (tetrahedron) has \(4\) congruent triangular faces. So the total surface area \(A = 4\times A_1\).

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Answer:

\(62.4\) square meters