Question

The net of a triangular pyramid is shown each triangle in the net has a base length that measures 6 in and a height that measures 4 inches what is the surface area of the pyramid that can be formed from this net -12 in2-24 in2-36 in2-48 in2

Answer 1

The surface area is equal to the sum of the areas of the triangles that form the red.

Area of a triangle:

$A=\frac{1}{2}b\cdot h$

The b is the base or the lenght of the triangle

h is the height

As the 4 triangles have the same measures, the surface area of the pyramid is:

$\begin{gathered} SA=4(\frac{1}{2}b\cdot h) \\ \\ SA=4(\frac{1}{2}(6in)(4in)) \\ \\ SA=4(12in^2) \\ \\ SA=48in^2 \end{gathered}$Then, the surface area is 48 square inches