What is the missing length l of the triangular prism if the surface area is 524 squared centimeters

In order to calculate the missing length l of the triangular prism, we need to know the dimensions of the prism. A triangular prism has three rectangular faces (two of them are congruent) and two triangular faces.

Let's assume that the triangular prism has a base with dimensions a and b, and a height of h. The missing length l would be the length of one of the rectangular faces.

The surface area of a triangular prism is given by the formula:

Surface Area = 2 * (Area of a base) + (Perimeter of base) * h

Since we know the surface area is 524 cm², we can set up an equation:

524 = 2 * (ab) + (a + b) * h

Now we need more information about the dimensions of the base (a and b) and the height (h) to solve for the missing length l.