Question

all of the faces of the triangular pyramid are identical. what is the surface area of the pyramid? show your work. 3.5 cm 4 cm 4 cm 4 cm

Explanation:

Step1: Find area of one triangular face

The area formula for a triangle is $A = \frac{1}{2}bh$, where $b = 4$ cm and $h=3.5$ cm. So $A_{triangle}=\frac{1}{2}\times4\times3.5= 7$ $cm^{2}$.

Step2: Calculate total surface - area

A triangular pyramid has 4 faces. Since all faces are identical, the total surface area $A_{total}=4\times A_{triangle}$. Substituting the value of $A_{triangle}$, we get $A_{total}=4\times7 = 28$ $cm^{2}$.

Answer:

$28$ $cm^{2}$