Answer: The answer is 60 square inches.
Step-by-step explanation: Given that Danny has a triangular pyramid where all the four triangles are congruent. The height and base of one triangle are 6 inches and 5 inches respectively. We are to find the surface area of the pyramid.
The area of one triangle is given by
[tex]A=\dfrac{1}{2}\times\textup{base}\times\textup{height}=\dfrac{1}{2}\times 5\times 6=15~\textup{sq. inches}.[/tex]
Since the pyramid consists of four congruent triangles, so the surface area of the pyramid will be
[tex]S=4\times A=4\times 15=60~\textup{sq. inches}.[/tex]
Thus, the answer is 60 sq. inches.
