Final answer:
The value of c in the given triangular prism is 5.
Step-by-step explanation:
To find the value of c, we need to use the formula for the volume of a triangular prism, which is V = 1/2 * b * h * c, where b is the base of the triangle, h is the height of the triangle, and c is the height of the prism.
Given that the volume is 125 cubic feet, and the base and height of the triangle are 10 ft and 5 ft respectively, we can plug in these values into the formula to solve for c.
125 = 1/2 * 10 * 5 * c
Simplifying the equation:
125 = 25c
Dividing both sides by 25:
c = 5
So, the value of c is 5.