Question

the figure below is a net for a triangular pyramid. 11.26 m 13 m if all the triangles are equilateral, what is the surface area of the pyramid, in square meters? answer a = m² submit answer

Explanation:

Step1: Recall area formula for triangle

$A_{\triangle}=\frac{1}{2}\times base\times height$

Step2: Identify base and height

Base $b = 13\ m$, height $h=11.26\ m$

Step3: Calculate area of one triangle

$A_{1}=\frac{1}{2}\times13\times11.26 = 73.19\ m^{2}$

Step4: Find surface - area of pyramid

A triangular pyramid has 4 triangular faces. Since all are congruent equilateral triangles, $A = 4\times A_{1}=4\times73.19 = 292.76\ m^{2}$

Answer:

$292.76\ m^{2}$