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
![A=(1)/(2)*\textup{base}*\textup{height}=(1)/(2)* 5* 6=15~\textup{sq. inches}.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zyhwqsdzo4byt5n6skobenwfgchme6lfwv.png)
Since the pyramid consists of four congruent triangles, so the surface area of the pyramid will be
![S=4* A=4* 15=60~\textup{sq. inches}.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4x72ucfnprys3czbakrhdhxw9h4uartjn6.png)
Thus, the answer is 60 sq. inches.